113677566662000 has 960 divisors, whose sum is σ = 328618950791040. Its totient is φ = 37859430400000.

The previous prime is 113677566661951. The next prime is 113677566662039. The reversal of 113677566662000 is 266665776311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24515323682 + ... + 24515328318.

It is an arithmetic number, because the mean of its divisors is an integer number (342311407074).

Almost surely, 2^{113677566662000} is an apocalyptic number.

113677566662000 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 113677566662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164309475395520).

113677566662000 is an abundant number, since it is smaller than the sum of its proper divisors (214941384129040).

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

113677566662000 is a wasteful number, since it uses less digits than its factorization.

113677566662000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 56.

The spelling of 113677566662000 in words is "one hundred thirteen trillion, six hundred seventy-seven billion, five hundred sixty-six million, six hundred sixty-two thousand".