111956414112 has 384 divisors, whose sum is σ = 350378784000. Its totient is φ = 35110692864.

The previous prime is 111956414107. The next prime is 111956414137. The reversal of 111956414112 is 211414659111.

111956414112 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 5 + 641 + 4 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 357688068 + ... + 357688380.

It is an arithmetic number, because the mean of its divisors is an integer number (912444750).

Almost surely, 2^111956414112 is an apocalyptic number.

111956414112 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 111956414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175189392000).

111956414112 is an abundant number, since it is smaller than the sum of its proper divisors (238422369888).

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

111956414112 is an equidigital number, since it uses as much as digits as its factorization.

111956414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 606 counting only the distinct ones).

The product of its digits is 8640, while the sum is 36.

The spelling of 111956414112 in words is "one hundred eleven billion, nine hundred fifty-six million, four hundred fourteen thousand, one hundred twelve".