111993479284512 has 288 divisors, whose sum is σ = 350519280793920. Its totient is φ = 31200031457280.

The previous prime is 111993479284451. The next prime is 111993479284513. The reversal of 111993479284512 is 215482974399111.

It is not an unprimeable number, because it can be changed into a prime (111993479284513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342555939 + ... + 342882717.

It is an arithmetic number, because the mean of its divisors is an integer number (1217080836090).

Almost surely, 2^{111993479284512} is an apocalyptic number.

111993479284512 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 111993479284512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175259640396960).

111993479284512 is an abundant number, since it is smaller than the sum of its proper divisors (238525801509408).

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

111993479284512 is a wasteful number, since it uses less digits than its factorization.

111993479284512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328624 (or 328609 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 66.

The spelling of 111993479284512 in words is "one hundred eleven trillion, nine hundred ninety-three billion, four hundred seventy-nine million, two hundred eighty-four thousand, five hundred twelve".