111149885952000 has 2496 divisors, whose sum is σ = 489123135221760. Its totient is φ = 23732158464000.

The previous prime is 111149885951959. The next prime is 111149885952011. The reversal of 111149885952000 is 259588941111.

111149885952000 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 49 + 8 + 8 + 595 + 2 + 0 + 0 + 0 = 666.

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, 28998142084 + ... + 28998145916.

It is an arithmetic number, because the mean of its divisors is an integer number (195962794560).

Almost surely, 2^{111149885952000} is an apocalyptic number.

111149885952000 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 111149885952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244561567610880).

111149885952000 is an abundant number, since it is smaller than the sum of its proper divisors (377973249269760).

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

111149885952000 is a wasteful number, since it uses less digits than its factorization.

111149885952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 54.

The spelling of 111149885952000 in words is "one hundred eleven trillion, one hundred forty-nine billion, eight hundred eighty-five million, nine hundred fifty-two thousand".