113449617474624 has 252 divisors, whose sum is σ = 346665901439988. Its totient is φ = 35465360179200.

The previous prime is 113449617474601. The next prime is 113449617474629. The reversal of 113449617474624 is 426474716944311.

113449617474624 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 4 + 9 + 617 + 4 + 7 + 4 + 6 + 2 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 51152820494400 + 62296796980224 = 7152120^2 + 7892832^2 .

It is a super-2 number, since 2×113449617474624² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113449617474629) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45563704 + ... + 47989064.

Almost surely, 2^{113449617474624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113449617474624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173332950719994).

113449617474624 is an abundant number, since it is smaller than the sum of its proper divisors (233216283965364).

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

113449617474624 is a wasteful number, since it uses less digits than its factorization.

113449617474624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425694 (or 2425664 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 113449617474624 in words is "one hundred thirteen trillion, four hundred forty-nine billion, six hundred seventeen million, four hundred seventy-four thousand, six hundred twenty-four".