111145472256 has 216 divisors, whose sum is σ = 370575597504. Its totient is φ = 29312962560.

The previous prime is 111145472231. The next prime is 111145472287. The reversal of 111145472256 is 652274541111.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375621 + ... + 602811.

Almost surely, 2^111145472256 is an apocalyptic number.

111145472256 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 111145472256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185287798752).

111145472256 is an abundant number, since it is smaller than the sum of its proper divisors (259430125248).

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

111145472256 is a wasteful number, since it uses less digits than its factorization.

111145472256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227237 (or 227216 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The spelling of 111145472256 in words is "one hundred eleven billion, one hundred forty-five million, four hundred seventy-two thousand, two hundred fifty-six".