14180056704 has 192 divisors, whose sum is σ = 45951310080. Its totient is φ = 4158259200.

The previous prime is 14180056703. The next prime is 14180056721. The reversal of 14180056704 is 40765008141.

It is a happy number.

14180056704 is a `hidden beast` number, since 14 + 1 + 80 + 0 + 567 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (14180056703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374784 + ... + 410880.

It is an arithmetic number, because the mean of its divisors is an integer number (239329740).

Almost surely, 2^14180056704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14180056704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22975655040).

14180056704 is an abundant number, since it is smaller than the sum of its proper divisors (31771253376).

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

14180056704 is a wasteful number, since it uses less digits than its factorization.

14180056704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36159 (or 36144 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 14180056704 in words is "fourteen billion, one hundred eighty million, fifty-six thousand, seven hundred four".