111944248416 has 576 divisors, whose sum is σ = 432325071360. Its totient is φ = 26532126720.

The previous prime is 111944248411. The next prime is 111944248433. The reversal of 111944248416 is 614842449111.

111944248416 is a `hidden beast` number, since 1 + 1 + 194 + 4 + 2 + 48 + 416 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111944248411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25655451 + ... + 25659813.

It is an arithmetic number, because the mean of its divisors is an integer number (750564360).

Almost surely, 2^111944248416 is an apocalyptic number.

111944248416 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 111944248416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216162535680).

111944248416 is an abundant number, since it is smaller than the sum of its proper divisors (320380822944).

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

111944248416 is a wasteful number, since it uses less digits than its factorization.

111944248416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499 (or 4488 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 111944248416 in words is "one hundred eleven billion, nine hundred forty-four million, two hundred forty-eight thousand, four hundred sixteen".