111405046680 has 256 divisors, whose sum is σ = 394926192000. Its totient is φ = 27837333504.

The previous prime is 111405046679. The next prime is 111405046681. The reversal of 111405046680 is 86640504111.

111405046680 is a `hidden beast` number, since 1 + 1 + 14 + 0 + 504 + 66 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (111405046679) and next prime (111405046681).

It is a super-2 number, since 2×111405046680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111405046681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4191192 + ... + 4217688.

Almost surely, 2^111405046680 is an apocalyptic number.

111405046680 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 111405046680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197463096000).

111405046680 is an abundant number, since it is smaller than the sum of its proper divisors (283521145320).

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

111405046680 is a wasteful number, since it uses less digits than its factorization.

111405046680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26763 (or 26753 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 111405046680 in words is "one hundred eleven billion, four hundred five million, forty-six thousand, six hundred eighty".