113785402982400 has 1152 divisors, whose sum is σ = 435280575974400. Its totient is φ = 28349772595200.

The previous prime is 113785402982393. The next prime is 113785402982501. The reversal of 113785402982400 is 4289204587311.

113785402982400 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 8 + 540 + 2 + 98 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 71 ways as a sum of consecutive naturals, for example, 6628138617 + ... + 6628155783.

It is an arithmetic number, because the mean of its divisors is an integer number (377847722200).

Almost surely, 2^{113785402982400} is an apocalyptic number.

113785402982400 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 113785402982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217640287987200).

113785402982400 is an abundant number, since it is smaller than the sum of its proper divisors (321495172992000).

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

113785402982400 is a wasteful number, since it uses less digits than its factorization.

113785402982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17273 (or 17237 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 113785402982400 in words is "one hundred thirteen trillion, seven hundred eighty-five billion, four hundred two million, nine hundred eighty-two thousand, four hundred".