111891456 has 220 divisors, whose sum is σ = 356669280. Its totient is φ = 34836480.

The previous prime is 111891449. The next prime is 111891463. The reversal of 111891456 is 654198111.

It is a happy number.

111891456 is a `hidden beast` number, since 1 + 118 + 91 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (111891449) and next prime (111891463).

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

It is a self number, because there is not a number n which added to its sum of digits gives 111891456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1575901 + ... + 1575971.

It is an arithmetic number, because the mean of its divisors is an integer number (1621224).

Almost surely, 2^111891456 is an apocalyptic number.

111891456 is a gapful number since it is divisible by the number (16) 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 111891456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178334640).

111891456 is an abundant number, since it is smaller than the sum of its proper divisors (244777824).

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

111891456 is an equidigital number, since it uses as much as digits as its factorization.

111891456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

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

The square root of 111891456 is about 10577.8757791912. The cubic root of 111891456 is about 481.8726843596.

The spelling of 111891456 in words is "one hundred eleven million, eight hundred ninety-one thousand, four hundred fifty-six".