113786347738680 has 192 divisors, whose sum is σ = 379955696365440. Its totient is φ = 29510870870016.

The previous prime is 113786347738639. The next prime is 113786347738681. The reversal of 113786347738680 is 86837743687311.

113786347738680 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 8 + 63 + 477 + 38 + 68 + 0 = 666.

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 = 113786347738599 and 113786347738608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113786347738681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30848532 + ... + 34339548.

It is an arithmetic number, because the mean of its divisors is an integer number (1978935918570).

Almost surely, 2^{113786347738680} is an apocalyptic number.

113786347738680 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 113786347738680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189977848182720).

113786347738680 is an abundant number, since it is smaller than the sum of its proper divisors (266169348626760).

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

113786347738680 is a wasteful number, since it uses less digits than its factorization.

113786347738680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493518 (or 3493511 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 113786347738680 in words is "one hundred thirteen trillion, seven hundred eighty-six billion, three hundred forty-seven million, seven hundred thirty-eight thousand, six hundred eighty".