113675531514624 has 1152 divisors, whose sum is σ = 376776871116800. Its totient is φ = 33657892208640.

The previous prime is 113675531514557. The next prime is 113675531514631. The reversal of 113675531514624 is 426415135576311.

113675531514624 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 7 + 5 + 5 + 3 + 1 + 5 + 1 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×113675531514624² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22232645892 + ... + 22232651004.

Almost surely, 2^{113675531514624} 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 113675531514624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188388435558400).

113675531514624 is an abundant number, since it is smaller than the sum of its proper divisors (263101339602176).

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

113675531514624 is a wasteful number, since it uses less digits than its factorization.

113675531514624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358 (or 5338 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 113675531514624 in words is "one hundred thirteen trillion, six hundred seventy-five billion, five hundred thirty-one million, five hundred fourteen thousand, six hundred twenty-four".