14477864976 has 135 divisors (see below), whose sum is σ = 41796818973. Its totient is φ = 4678197120.

The previous prime is 14477864957. The next prime is 14477864977. The reversal of 14477864976 is 67946877441.

The square root of 14477864976 is 120324.

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

14477864976 is a `hidden beast` number, since 1 + 447 + 7 + 86 + 49 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12954992400 + 1522872576 = 113820^2 + 39024^2 .

It is not an unprimeable number, because it can be changed into a prime (14477864977) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53423721 + ... + 53423991.

Almost surely, 2^14477864976 is an apocalyptic number.

14477864976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14477864976 is the 120324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14477864976

14477864976 is an abundant number, since it is smaller than the sum of its proper divisors (27318953997).

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

14477864976 is an equidigital number, since it uses as much as digits as its factorization.

14477864976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 313 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 63.

The spelling of 14477864976 in words is "fourteen billion, four hundred seventy-seven million, eight hundred sixty-four thousand, nine hundred seventy-six".