113141639939328 has 576 divisors, whose sum is σ = 449225963827200. Its totient is φ = 27126865059840.

The previous prime is 113141639939327. The next prime is 113141639939347. The reversal of 113141639939328 is 823939936141311.

113141639939328 is a `hidden beast` number, since 1 + 1 + 31 + 4 + 163 + 99 + 39 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113141639939327) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1257348 + ... + 15095171.

It is an arithmetic number, because the mean of its divisors is an integer number (779906187200).

Almost surely, 2^{113141639939328} is an apocalyptic number.

113141639939328 is a gapful number since it is divisible by the number (18) 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 113141639939328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224612981913600).

113141639939328 is an abundant number, since it is smaller than the sum of its proper divisors (336084323887872).

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

113141639939328 is a wasteful number, since it uses less digits than its factorization.

113141639939328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16352575 (or 16352555 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 63.

The spelling of 113141639939328 in words is "one hundred thirteen trillion, one hundred forty-one billion, six hundred thirty-nine million, nine hundred thirty-nine thousand, three hundred twenty-eight".