113389360128 has 264 divisors, whose sum is σ = 358341597120. Its totient is φ = 34248130560.

The previous prime is 113389360039. The next prime is 113389360129. The reversal of 113389360128 is 821063983311.

113389360128 is a `hidden beast` number, since 1 + 1 + 3 + 38 + 9 + 3 + 601 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113389360129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34162053 + ... + 34165371.

Almost surely, 2^113389360128 is an apocalyptic number.

113389360128 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 113389360128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179170798560).

113389360128 is an abundant number, since it is smaller than the sum of its proper divisors (244952236992).

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

113389360128 is a wasteful number, since it uses less digits than its factorization.

113389360128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3693 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 113389360128 in words is "one hundred thirteen billion, three hundred eighty-nine million, three hundred sixty thousand, one hundred twenty-eight".