113535096370032 has 320 divisors, whose sum is σ = 305403812904960. Its totient is φ = 36317369088000.

The previous prime is 113535096370027. The next prime is 113535096370049. The reversal of 113535096370032 is 230073690535311.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78246102907 + ... + 78246104357.

It is an arithmetic number, because the mean of its divisors is an integer number (954386915328).

Almost surely, 2^{113535096370032} is an apocalyptic number.

113535096370032 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 113535096370032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152701906452480).

113535096370032 is an abundant number, since it is smaller than the sum of its proper divisors (191868716534928).

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

113535096370032 is a wasteful number, since it uses less digits than its factorization.

113535096370032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 48.

The spelling of 113535096370032 in words is "one hundred thirteen trillion, five hundred thirty-five billion, ninety-six million, three hundred seventy thousand, thirty-two".