111408579360 has 768 divisors, whose sum is σ = 447830208000. Its totient is φ = 25960144896.

The previous prime is 111408579349. The next prime is 111408579377. The reversal of 111408579360 is 63975804111.

111408579360 is a `hidden beast` number, since 1 + 1 + 1 + 40 + 8 + 579 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86429596 + ... + 86430884.

It is an arithmetic number, because the mean of its divisors is an integer number (583112250).

Almost surely, 2^111408579360 is an apocalyptic number.

111408579360 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 111408579360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223915104000).

111408579360 is an abundant number, since it is smaller than the sum of its proper divisors (336421628640).

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

111408579360 is a wasteful number, since it uses less digits than its factorization.

111408579360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 111408579360 in words is "one hundred eleven billion, four hundred eight million, five hundred seventy-nine thousand, three hundred sixty".