196188756624 has 135 divisors (see below), whose sum is σ = 638818984713. Its totient is φ = 56043300096.

The previous prime is 196188756619. The next prime is 196188756629. The reversal of 196188756624 is 426657881691.

The square root of 196188756624 is 442932.

It is a perfect power (a square), and thus also a powerful number.

196188756624 is a `hidden beast` number, since 1 + 9 + 61 + 8 + 8 + 7 + 566 + 2 + 4 = 666.

196188756624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196188756619) and next prime (196188756629).

It can be written as a sum of positive squares in only one way, i.e., 96857888400 + 99330868224 = 311220^2 + 315168^2 .

It is a super-2 number, since 2×196188756624² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (196188756629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37203652 + ... + 37208924.

Almost surely, 2^196188756624 is an apocalyptic number.

196188756624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

196188756624 is the 442932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196188756624

196188756624 is an abundant number, since it is smaller than the sum of its proper divisors (442630228089).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

196188756624 is an frugal number, since it uses more digits than its factorization.

196188756624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10574 (or 5285 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 196188756624 in words is "one hundred ninety-six billion, one hundred eighty-eight million, seven hundred fifty-six thousand, six hundred twenty-four".