111887831284992 has 504 divisors, whose sum is σ = 382872181284096. Its totient is φ = 31952826667008.

The previous prime is 111887831284981. The next prime is 111887831284993. The reversal of 111887831284992 is 299482138788111.

111887831284992 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 8 + 7 + 8 + 3 + 128 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 111887831284992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111887831284993) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2922326073 + ... + 2922364359.

Almost surely, 2^{111887831284992} is an apocalyptic number.

111887831284992 is a gapful number since it is divisible by the number (12) 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 111887831284992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191436090642048).

111887831284992 is an abundant number, since it is smaller than the sum of its proper divisors (270984349999104).

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

111887831284992 is an frugal number, since it uses more digits than its factorization.

111887831284992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40565 (or 40536 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 72.

The spelling of 111887831284992 in words is "one hundred eleven trillion, eight hundred eighty-seven billion, eight hundred thirty-one million, two hundred eighty-four thousand, nine hundred ninety-two".