113064635616516 has 96 divisors (see below), whose sum is σ = 294399461865600. Its totient is φ = 37525076305920.

The previous prime is 113064635616473. The next prime is 113064635616547. The reversal of 113064635616516 is 615616536460311.

113064635616516 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 6 + 4 + 6 + 3 + 5 + 616 + 5 + 16 = 666.

It is a super-2 number, since 2×113064635616516² (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 31 ways as a sum of consecutive naturals, for example, 859813300 + ... + 859944788.

It is an arithmetic number, because the mean of its divisors is an integer number (3066661061100).

Almost surely, 2^{113064635616516} 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 113064635616516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147199730932800).

113064635616516 is an abundant number, since it is smaller than the sum of its proper divisors (181334826249084).

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

113064635616516 is a wasteful number, since it uses less digits than its factorization.

113064635616516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165906 (or 165898 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 113064635616516 in words is "one hundred thirteen trillion, sixty-four billion, six hundred thirty-five million, six hundred sixteen thousand, five hundred sixteen".