113267564928 has 192 divisors, whose sum is σ = 388698336000. Its totient is φ = 30955060224.

The previous prime is 113267564923. The next prime is 113267564981. The reversal of 113267564928 is 829465762311.

It is a happy number.

113267564928 is a `hidden beast` number, since 1 + 13 + 2 + 67 + 564 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113267564923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119878 + ... + 490821.

It is an arithmetic number, because the mean of its divisors is an integer number (2024470500).

Almost surely, 2^113267564928 is an apocalyptic number.

113267564928 is a gapful number since it is divisible by the number (18) 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 113267564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194349168000).

113267564928 is an abundant number, since it is smaller than the sum of its proper divisors (275430771072).

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

113267564928 is a wasteful number, since it uses less digits than its factorization.

113267564928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610749 (or 610734 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 113267564928 in words is "one hundred thirteen billion, two hundred sixty-seven million, five hundred sixty-four thousand, nine hundred twenty-eight".