14971480164 has 27 divisors (see below), whose sum is σ = 37846430713. Its totient is φ = 4990248672.

The previous prime is 14971480129. The next prime is 14971480169. The reversal of 14971480164 is 46108417941.

The square root of 14971480164 is 122358.

It is a perfect power (a square), and thus also a powerful number.

14971480164 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 1 + 480 + 164 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8083808100 + 6887672064 = 89910^2 + 82992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14971480169) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 723952 + ... + 744344.

Almost surely, 2^14971480164 is an apocalyptic number.

14971480164 is the 122358-th square number.

It is an amenable number.

14971480164 is an abundant number, since it is smaller than the sum of its proper divisors (22874950549).

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

14971480164 is an frugal number, since it uses more digits than its factorization.

14971480164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40796 (or 20398 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 14971480164 in words is "fourteen billion, nine hundred seventy-one million, four hundred eighty thousand, one hundred sixty-four".