113526608832 has 840 divisors, whose sum is σ = 435577000320. Its totient is φ = 28949114880.

The previous prime is 113526608813. The next prime is 113526608843. The reversal of 113526608832 is 238806625311.

113526608832 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 2 + 6 + 608 + 8 + 32 = 666.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 102367894 + ... + 102369002.

It is an arithmetic number, because the mean of its divisors is an integer number (518544048).

Almost surely, 2^113526608832 is an apocalyptic number.

113526608832 is a gapful number since it is divisible by the number (12) 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 113526608832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217788500160).

113526608832 is an abundant number, since it is smaller than the sum of its proper divisors (322050391488).

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

113526608832 is a wasteful number, since it uses less digits than its factorization.

113526608832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 113526608832 in words is "one hundred thirteen billion, five hundred twenty-six million, six hundred eight thousand, eight hundred thirty-two".