113065992000 has 672 divisors, whose sum is σ = 439833532320. Its totient is φ = 27559526400.

The previous prime is 113065991981. The next prime is 113065992007. The reversal of 113065992000 is 299560311.

113065992000 is a `hidden beast` number, since 11 + 30 + 6 + 599 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 112928258304 + 137733696 = 336048^2 + 11736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113065992007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105767466 + ... + 105768534.

It is an arithmetic number, because the mean of its divisors is an integer number (654514185).

Almost surely, 2^113065992000 is an apocalyptic number.

113065992000 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 113065992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219916766160).

113065992000 is an abundant number, since it is smaller than the sum of its proper divisors (326767540320).

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

113065992000 is a wasteful number, since it uses less digits than its factorization.

113065992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 113065992000 in words is "one hundred thirteen billion, sixty-five million, nine hundred ninety-two thousand".