113789731461120 has 3456 divisors, whose sum is σ = 511893886533120. Its totient is φ = 23949024952320.

The previous prime is 113789731461041. The next prime is 113789731461127. The reversal of 113789731461120 is 21164137987311.

113789731461120 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 8 + 9 + 7 + 3 + 14 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113789731461127) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 78638376237 + ... + 78638377683.

It is an arithmetic number, because the mean of its divisors is an integer number (148117444020).

Almost surely, 2^{113789731461120} is an apocalyptic number.

113789731461120 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 113789731461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255946943266560).

113789731461120 is an abundant number, since it is smaller than the sum of its proper divisors (398104155072000).

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

113789731461120 is a wasteful number, since it uses less digits than its factorization.

113789731461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 113789731461120 in words is "one hundred thirteen trillion, seven hundred eighty-nine billion, seven hundred thirty-one million, four hundred sixty-one thousand, one hundred twenty".