113939793193680 has 240 divisors, whose sum is σ = 402835178029440. Its totient is φ = 28781358566400.

The previous prime is 113939793193627. The next prime is 113939793193741. The reversal of 113939793193680 is 86391397939311.

113939793193680 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 397 + 93 + 1 + 93 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 113939793193599 and 113939793193608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115254285 + ... + 116238675.

It is an arithmetic number, because the mean of its divisors is an integer number (1678479908456).

Almost surely, 2^{113939793193680} is an apocalyptic number.

113939793193680 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 113939793193680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201417589014720).

113939793193680 is an abundant number, since it is smaller than the sum of its proper divisors (288895384835760).

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

113939793193680 is a wasteful number, since it uses less digits than its factorization.

113939793193680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992890 (or 992881 counting only the distinct ones).

The product of its (nonzero) digits is 178564176, while the sum is 72.

The spelling of 113939793193680 in words is "one hundred thirteen trillion, nine hundred thirty-nine billion, seven hundred ninety-three million, one hundred ninety-three thousand, six hundred eighty".