111316412160 has 576 divisors, whose sum is σ = 408467727360. Its totient is φ = 28685352960.

The previous prime is 111316412107. The next prime is 111316412167. The reversal of 111316412160 is 61214613111.

111316412160 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 1 + 641 + 2 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111316412167) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 336303195 + ... + 336303525.

It is an arithmetic number, because the mean of its divisors is an integer number (709145360).

Almost surely, 2^111316412160 is an apocalyptic number.

111316412160 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 111316412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204233863680).

111316412160 is an abundant number, since it is smaller than the sum of its proper divisors (297151315200).

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

111316412160 is a wasteful number, since it uses less digits than its factorization.

111316412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 111316412160 in words is "one hundred eleven billion, three hundred sixteen million, four hundred twelve thousand, one hundred sixty".