190387342840464 has 1215 divisors, whose sum is σ = 692643192113691. Its totient is φ = 48639930071040.

The previous prime is 190387342840459. The next prime is 190387342840501. The reversal of 190387342840464 is 464048243783091.

The square root of 190387342840464 is 13798092.

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

190387342840464 is a `hidden beast` number, since 1 + 9 + 0 + 3 + 87 + 34 + 28 + 40 + 464 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15603290010000 + 174784052830464 = 3950100^2 + 13220592^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1389688633804 + ... + 1389688633940.

Almost surely, 2^{190387342840464} is an apocalyptic number.

190387342840464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

190387342840464 is the 13798092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190387342840464

190387342840464 is an abundant number, since it is smaller than the sum of its proper divisors (502255849273227).

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

190387342840464 is a wasteful number, since it uses less digits than its factorization.

190387342840464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 190387342840464 in words is "one hundred ninety trillion, three hundred eighty-seven billion, three hundred forty-two million, eight hundred forty thousand, four hundred sixty-four".