113428465920 has 432 divisors, whose sum is σ = 489292981632. Its totient is φ = 23569367040.

The previous prime is 113428465903. The next prime is 113428465933. The reversal of 113428465920 is 29564824311.

113428465920 is a `hidden beast` number, since 1 + 1 + 34 + 28 + 4 + 6 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823104 + ... + 950976.

Almost surely, 2^113428465920 is an apocalyptic number.

113428465920 is a gapful number since it is divisible by the number (10) 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 113428465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244646490816).

113428465920 is an abundant number, since it is smaller than the sum of its proper divisors (375864515712).

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

113428465920 is a wasteful number, since it uses less digits than its factorization.

113428465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127918 (or 127901 counting only the distinct ones).

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

The spelling of 113428465920 in words is "one hundred thirteen billion, four hundred twenty-eight million, four hundred sixty-five thousand, nine hundred twenty".