113253434736 has 240 divisors, whose sum is σ = 326451709920. Its totient is φ = 33629184000.

The previous prime is 113253434713. The next prime is 113253434779. The reversal of 113253434736 is 637434352311.

It is a super-2 number, since 2×113253434736² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 105942810 + ... + 105943878.

It is an arithmetic number, because the mean of its divisors is an integer number (1360215458).

Almost surely, 2^113253434736 is an apocalyptic number.

113253434736 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 113253434736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163225854960).

113253434736 is an abundant number, since it is smaller than the sum of its proper divisors (213198275184).

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

113253434736 is a wasteful number, since it uses less digits than its factorization.

113253434736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1229 counting only the distinct ones).

The product of its digits is 544320, while the sum is 42.

The spelling of 113253434736 in words is "one hundred thirteen billion, two hundred fifty-three million, four hundred thirty-four thousand, seven hundred thirty-six".