113738321564 has 72 divisors (see below), whose sum is σ = 237756471120. Its totient is φ = 47441721600.

The previous prime is 113738321537. The next prime is 113738321579. The reversal of 113738321564 is 465123837311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3366347 + ... + 3399965.

It is an arithmetic number, because the mean of its divisors is an integer number (3302173210).

Almost surely, 2^113738321564 is an apocalyptic number.

113738321564 is a gapful number since it is divisible by the number (14) 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 113738321564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118878235560).

113738321564 is an abundant number, since it is smaller than the sum of its proper divisors (124018149556).

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

113738321564 is a wasteful number, since it uses less digits than its factorization.

113738321564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34099 (or 34090 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The spelling of 113738321564 in words is "one hundred thirteen billion, seven hundred thirty-eight million, three hundred twenty-one thousand, five hundred sixty-four".