111416618880 has 1024 divisors, whose sum is σ = 477034905600. Its totient is φ = 24037171200.

The previous prime is 111416618861. The next prime is 111416618891. The reversal of 111416618880 is 88816614111.

111416618880 is a `hidden beast` number, since 1 + 1 + 14 + 16 + 618 + 8 + 8 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161239335 + ... + 161240025.

It is an arithmetic number, because the mean of its divisors is an integer number (465854400).

Almost surely, 2^111416618880 is an apocalyptic number.

111416618880 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 111416618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238517452800).

111416618880 is an abundant number, since it is smaller than the sum of its proper divisors (365618286720).

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

111416618880 is a wasteful number, since it uses less digits than its factorization.

111416618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 111416618880 in words is "one hundred eleven billion, four hundred sixteen million, six hundred eighteen thousand, eight hundred eighty".