113907122961984 has 189 divisors, whose sum is σ = 358882668930331. Its totient is φ = 34516456170240.

The previous prime is 113907122961913. The next prime is 113907122962043. The reversal of 113907122961984 is 489169221709311.

The square root of 113907122961984 is 10672728.

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

113907122961984 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 0 + 7 + 1 + 2 + 2 + 9 + 619 + 8 + 4 = 666.

It is a super-2 number, since 2×113907122961984² (a number of 29 digits) contains 22 as substring.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 2817579979 + ... + 2817620405.

Almost surely, 2^{113907122961984} is an apocalyptic number.

113907122961984 is the 10672728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113907122961984

113907122961984 is an abundant number, since it is smaller than the sum of its proper divisors (244975545968347).

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

113907122961984 is an frugal number, since it uses more digits than its factorization.

113907122961984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80894 (or 40443 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 113907122961984 in words is "one hundred thirteen trillion, nine hundred seven billion, one hundred twenty-two million, nine hundred sixty-one thousand, nine hundred eighty-four".