111631738659168 has 1152 divisors, whose sum is σ = 416317816212480. Its totient is φ = 25345350696960.

The previous prime is 111631738659157. The next prime is 111631738659173. The reversal of 111631738659168 is 861956837136111.

It is a junction number, because it is equal to n+sod(n) for n = 111631738659099 and 111631738659108.

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, 2373049728 + ... + 2373096768.

It is an arithmetic number, because the mean of its divisors is an integer number (361386993240).

Almost surely, 2^{111631738659168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111631738659168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208158908106240).

111631738659168 is an abundant number, since it is smaller than the sum of its proper divisors (304686077553312).

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

111631738659168 is a wasteful number, since it uses less digits than its factorization.

111631738659168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47168 (or 47131 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 66.

The spelling of 111631738659168 in words is "one hundred eleven trillion, six hundred thirty-one billion, seven hundred thirty-eight million, six hundred fifty-nine thousand, one hundred sixty-eight".