14116345056 has 144 divisors (see below), whose sum is σ = 43873135488. Its totient is φ = 4269830400.

The previous prime is 14116345037. The next prime is 14116345129. The reversal of 14116345056 is 65054361141.

14116345056 is a `hidden beast` number, since 1 + 4 + 11 + 634 + 5 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 14116345056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1855821 + ... + 1863411.

It is an arithmetic number, because the mean of its divisors is an integer number (304674552).

Almost surely, 2^14116345056 is an apocalyptic number.

14116345056 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 14116345056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936567744).

14116345056 is an abundant number, since it is smaller than the sum of its proper divisors (29756790432).

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

14116345056 is a wasteful number, since it uses less digits than its factorization.

14116345056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8205 (or 8194 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 14116345056 in words is "fourteen billion, one hundred sixteen million, three hundred forty-five thousand, fifty-six".