113489521920 has 864 divisors, whose sum is σ = 434552961024. Its totient is φ = 27249868800.

The previous prime is 113489521919. The next prime is 113489521973. The reversal of 113489521920 is 29125984311.

113489521920 is a `hidden beast` number, since 1 + 1 + 34 + 8 + 9 + 521 + 92 + 0 = 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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336763992 + ... + 336764328.

It is an arithmetic number, because the mean of its divisors is an integer number (502954816).

Almost surely, 2^113489521920 is an apocalyptic number.

113489521920 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 113489521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217276480512).

113489521920 is an abundant number, since it is smaller than the sum of its proper divisors (321063439104).

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

113489521920 is a wasteful number, since it uses less digits than its factorization.

113489521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 113489521920 in words is "one hundred thirteen billion, four hundred eighty-nine million, five hundred twenty-one thousand, nine hundred twenty".