111690379764000 has 1536 divisors, whose sum is σ = 436565106432000. Its totient is φ = 27667132416000.

The previous prime is 111690379763993. The next prime is 111690379764011. The reversal of 111690379764000 is 467973096111.

111690379764000 is a `hidden beast` number, since 1 + 1 + 16 + 90 + 3 + 79 + 76 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23322273606 + ... + 23322278394.

It is an arithmetic number, because the mean of its divisors is an integer number (284222074500).

Almost surely, 2^{111690379764000} is an apocalyptic number.

111690379764000 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 111690379764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218282553216000).

111690379764000 is an abundant number, since it is smaller than the sum of its proper divisors (324874726668000).

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

111690379764000 is a wasteful number, since it uses less digits than its factorization.

111690379764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5116 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 111690379764000 in words is "one hundred eleven trillion, six hundred ninety billion, three hundred seventy-nine million, seven hundred sixty-four thousand".