113561016120864 has 1152 divisors, whose sum is σ = 385854286970880. Its totient is φ = 32587611033600.

The previous prime is 113561016120823. The next prime is 113561016120899. The reversal of 113561016120864 is 468021610165311.

113561016120864 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 610 + 1 + 6 + 1 + 20 + 8 + 6 + 4 = 666.

113561016120864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113561016120864² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75156197869 + ... + 75156199379.

It is an arithmetic number, because the mean of its divisors is an integer number (334942957440).

Almost surely, 2^{113561016120864} 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 113561016120864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192927143485440).

113561016120864 is an abundant number, since it is smaller than the sum of its proper divisors (272293270850016).

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

113561016120864 is a wasteful number, since it uses less digits than its factorization.

113561016120864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 113561016120864 in words is "one hundred thirteen trillion, five hundred sixty-one billion, sixteen million, one hundred twenty thousand, eight hundred sixty-four".