113647453920 has 1536 divisors, whose sum is σ = 547942993920. Its totient is φ = 21233664000.

The previous prime is 113647453813. The next prime is 113647453949. The reversal of 113647453920 is 29354746311.

113647453920 is a `hidden beast` number, since 1 + 136 + 47 + 453 + 9 + 20 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 177296800 + ... + 177297440.

It is an arithmetic number, because the mean of its divisors is an integer number (356733720).

Almost surely, 2^113647453920 is an apocalyptic number.

113647453920 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 113647453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273971496960).

113647453920 is an abundant number, since it is smaller than the sum of its proper divisors (434295540000).

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

113647453920 is a wasteful number, since it uses less digits than its factorization.

113647453920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 113647453920 in words is "one hundred thirteen billion, six hundred forty-seven million, four hundred fifty-three thousand, nine hundred twenty".