113746890816 has 448 divisors, whose sum is σ = 395586508800. Its totient is φ = 31712643072.

The previous prime is 113746890799. The next prime is 113746890847. The reversal of 113746890816 is 618098647311.

113746890816 is a `hidden beast` number, since 1 + 13 + 7 + 468 + 90 + 81 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9810975 + ... + 9822561.

It is an arithmetic number, because the mean of its divisors is an integer number (883005600).

Almost surely, 2^113746890816 is an apocalyptic number.

113746890816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113746890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197793254400).

113746890816 is an abundant number, since it is smaller than the sum of its proper divisors (281839617984).

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

113746890816 is a wasteful number, since it uses less digits than its factorization.

113746890816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11663 (or 11647 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 113746890816 in words is "one hundred thirteen billion, seven hundred forty-six million, eight hundred ninety thousand, eight hundred sixteen".