196691144148576 has 5184 divisors, whose sum is σ = 827322715054080. Its totient is φ = 45213919027200.

The previous prime is 196691144148563. The next prime is 196691144148599. The reversal of 196691144148576 is 675841441196691.

196691144148576 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 9 + 1 + 1 + 4 + 4 + 1 + 48 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 2694399234876 + ... + 2694399234948.

It is an arithmetic number, because the mean of its divisors is an integer number (159591573120).

Almost surely, 2^{196691144148576} is an apocalyptic number.

196691144148576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196691144148576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413661357527040).

196691144148576 is an abundant number, since it is smaller than the sum of its proper divisors (630631570905504).

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

196691144148576 is a wasteful number, since it uses less digits than its factorization.

196691144148576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 193 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 196691144148576 in words is "one hundred ninety-six trillion, six hundred ninety-one billion, one hundred forty-four million, one hundred forty-eight thousand, five hundred seventy-six".