111638928960 has 672 divisors, whose sum is σ = 430613820000. Its totient is φ = 26358054912.

The previous prime is 111638928953. The next prime is 111638928979. The reversal of 111638928960 is 69829836111.

It can be written as a sum of positive squares in 16 ways, for example, as 11762703936 + 99876225024 = 108456^2 + 316032^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111638928897 and 111638928906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248638816 + ... + 248639264.

It is an arithmetic number, because the mean of its divisors is an integer number (640794375).

Almost surely, 2^111638928960 is an apocalyptic number.

111638928960 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 111638928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215306910000).

111638928960 is an abundant number, since it is smaller than the sum of its proper divisors (318974891040).

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

111638928960 is a wasteful number, since it uses less digits than its factorization.

111638928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 111638928960 in words is "one hundred eleven billion, six hundred thirty-eight million, nine hundred twenty-eight thousand, nine hundred sixty".