111825741308688 has 640 divisors, whose sum is σ = 374936567523840. Its totient is φ = 31534539079680.

The previous prime is 111825741308663. The next prime is 111825741308689. The reversal of 111825741308688 is 886803147528111.

111825741308688 is a `hidden beast` number, since 1 + 1 + 18 + 2 + 57 + 413 + 0 + 86 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (111825741308689) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9034957156 + ... + 9034969532.

It is an arithmetic number, because the mean of its divisors is an integer number (585838386756).

Almost surely, 2^{111825741308688} is an apocalyptic number.

111825741308688 is a gapful number since it is divisible by the number (18) 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 111825741308688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187468283761920).

111825741308688 is an abundant number, since it is smaller than the sum of its proper divisors (263110826215152).

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

111825741308688 is a wasteful number, since it uses less digits than its factorization.

111825741308688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13672 (or 13660 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 63.

The spelling of 111825741308688 in words is "one hundred eleven trillion, eight hundred twenty-five billion, seven hundred forty-one million, three hundred eight thousand, six hundred eighty-eight".