113677760988000 has 4032 divisors, whose sum is σ = 501068940503040. Its totient is φ = 25219434240000.

The previous prime is 113677760987977. The next prime is 113677760988053. The reversal of 113677760988000 is 889067776311.

113677760988000 is a `hidden beast` number, since 1 + 13 + 6 + 7 + 7 + 7 + 609 + 8 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×113677760988000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 671 ways as a sum of consecutive naturals, for example, 207820403727 + ... + 207820404273.

It is an arithmetic number, because the mean of its divisors is an integer number (124273050720).

Almost surely, 2^{113677760988000} is an apocalyptic number.

113677760988000 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 113677760988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250534470251520).

113677760988000 is an abundant number, since it is smaller than the sum of its proper divisors (387391179515040).

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

113677760988000 is a wasteful number, since it uses less digits than its factorization.

113677760988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 113677760988000 in words is "one hundred thirteen trillion, six hundred seventy-seven billion, seven hundred sixty million, nine hundred eighty-eight thousand".