111416256 has 224 divisors, whose sum is σ = 382991360. Its totient is φ = 31104000.

The previous prime is 111416197. The next prime is 111416267. The reversal of 111416256 is 652614111.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1440) is a multiple of the sum of its prime factors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737781 + ... + 737931.

Almost surely, 2^111416256 is an apocalyptic number.

111416256 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 111416256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191495680).

111416256 is an abundant number, since it is smaller than the sum of its proper divisors (271575104).

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

111416256 is a wasteful number, since it uses less digits than its factorization.

111416256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 224 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 111416256 is about 10555.3899027937. The cubic root of 111416256 is about 481.1895495893.

The spelling of 111416256 in words is "one hundred eleven million, four hundred sixteen thousand, two hundred fifty-six".