111563418960 has 640 divisors, whose sum is σ = 451205406720. Its totient is φ = 25121456640.

The previous prime is 111563418947. The next prime is 111563418973. The reversal of 111563418960 is 69814365111.

111563418960 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 634 + 1 + 8 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (111563418947) and next prime (111563418973).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86954479 + ... + 86955761.

It is an arithmetic number, because the mean of its divisors is an integer number (705008448).

Almost surely, 2^111563418960 is an apocalyptic number.

111563418960 is a gapful number since it is divisible by the number (10) 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 111563418960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225602703360).

111563418960 is an abundant number, since it is smaller than the sum of its proper divisors (339641987760).

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

111563418960 is an equidigital number, since it uses as much as digits as its factorization.

111563418960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 111563418960 in words is "one hundred eleven billion, five hundred sixty-three million, four hundred eighteen thousand, nine hundred sixty".