113699046384000 has 2048 divisors, whose sum is σ = 549613209600000. Its totient is φ = 22382189568000.

The previous prime is 113699046383999. The next prime is 113699046384029. The reversal of 113699046384000 is 483640996311.

113699046384000 is a `hidden beast` number, since 1 + 13 + 6 + 9 + 90 + 463 + 84 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 631926051 + ... + 632105949.

It is an arithmetic number, because the mean of its divisors is an integer number (268365825000).

Almost surely, 2^{113699046384000} is an apocalyptic number.

113699046384000 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 113699046384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274806604800000).

113699046384000 is an abundant number, since it is smaller than the sum of its proper divisors (435914163216000).

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

113699046384000 is a wasteful number, since it uses less digits than its factorization.

113699046384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179974 (or 179946 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 113699046384000 in words is "one hundred thirteen trillion, six hundred ninety-nine billion, forty-six million, three hundred eighty-four thousand".