111985872695424 has 1536 divisors, whose sum is σ = 418768197120000. Its totient is φ = 28513519534080.

The previous prime is 111985872695387. The next prime is 111985872695443. The reversal of 111985872695424 is 424596278589111.

111985872695424 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 8 + 5 + 8 + 72 + 6 + 9 + 542 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 120544534192 + ... + 120544535120.

It is an arithmetic number, because the mean of its divisors is an integer number (272635545000).

Almost surely, 2^{111985872695424} is an apocalyptic number.

111985872695424 is a gapful number since it is divisible by the number (14) 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 111985872695424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209384098560000).

111985872695424 is an abundant number, since it is smaller than the sum of its proper divisors (306782324424576).

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

111985872695424 is a wasteful number, since it uses less digits than its factorization.

111985872695424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1742 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 72.

The spelling of 111985872695424 in words is "one hundred eleven trillion, nine hundred eighty-five billion, eight hundred seventy-two million, six hundred ninety-five thousand, four hundred twenty-four".