113739803662680 has 1536 divisors, whose sum is σ = 448254350438400. Its totient is φ = 25534136549376.

The previous prime is 113739803662679. The next prime is 113739803662729. The reversal of 113739803662680 is 86266308937311.

113739803662680 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 3 + 9 + 8 + 0 + 366 + 268 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30193734157 + ... + 30193737923.

It is an arithmetic number, because the mean of its divisors is an integer number (291832259400).

Almost surely, 2^{113739803662680} is an apocalyptic number.

113739803662680 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 113739803662680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224127175219200).

113739803662680 is an abundant number, since it is smaller than the sum of its proper divisors (334514546775720).

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

113739803662680 is a wasteful number, since it uses less digits than its factorization.

113739803662680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 113739803662680 in words is "one hundred thirteen trillion, seven hundred thirty-nine billion, eight hundred three million, six hundred sixty-two thousand, six hundred eighty".