111056271408 has 120 divisors (see below), whose sum is σ = 321132839040. Its totient is φ = 35790704640.

The previous prime is 111056271383. The next prime is 111056271409. The reversal of 111056271408 is 804172650111.

111056271408 is a `hidden beast` number, since 1 + 1 + 10 + 5 + 627 + 14 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (111056271409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4939360 + ... + 4961792.

It is an arithmetic number, because the mean of its divisors is an integer number (2676106992).

Almost surely, 2^111056271408 is an apocalyptic number.

111056271408 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 111056271408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160566419520).

111056271408 is an abundant number, since it is smaller than the sum of its proper divisors (210076567632).

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

111056271408 is a wasteful number, since it uses less digits than its factorization.

111056271408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23587 (or 23578 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 111056271408 in words is "one hundred eleven billion, fifty-six million, two hundred seventy-one thousand, four hundred eight".