113685384384000 has 7680 divisors, whose sum is σ = 550883109224448. Its totient is φ = 22932357120000.

The previous prime is 113685384383981. The next prime is 113685384384041. The reversal of 113685384384000 is 483483586311.

113685384384000 is a `hidden beast` number, since 1 + 1 + 3 + 68 + 538 + 4 + 3 + 8 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1172014271952 + ... + 1172014272048.

Almost surely, 2^{113685384384000} is an apocalyptic number.

113685384384000 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 113685384384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275441554612224).

113685384384000 is an abundant number, since it is smaller than the sum of its proper divisors (437197724840448).

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

113685384384000 is a wasteful number, since it uses less digits than its factorization.

113685384384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 113685384384000 in words is "one hundred thirteen trillion, six hundred eighty-five billion, three hundred eighty-four million, three hundred eighty-four thousand".