113116202784 has 384 divisors, whose sum is σ = 364360550400. Its totient is φ = 33927828480.

The previous prime is 113116202761. The next prime is 113116202789. The reversal of 113116202784 is 487202611311.

113116202784 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 1 + 620 + 27 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (113116202789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86811477 + ... + 86812779.

It is an arithmetic number, because the mean of its divisors is an integer number (948855600).

Almost surely, 2^113116202784 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 113116202784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182180275200).

113116202784 is an abundant number, since it is smaller than the sum of its proper divisors (251244347616).

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

113116202784 is a wasteful number, since it uses less digits than its factorization.

113116202784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 113116202784 in words is "one hundred thirteen billion, one hundred sixteen million, two hundred two thousand, seven hundred eighty-four".