14416009172964 has 81 divisors (see below), whose sum is σ = 42390400649961. Its totient is φ = 4118814201600.

The previous prime is 14416009172951. The next prime is 14416009173001. The reversal of 14416009172964 is 46927190061441.

It is a happy number.

The square root of 14416009172964 is 3796842.

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

14416009172964 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 600 + 9 + 1 + 7 + 29 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3540260507364 + 10875748665600 = 1881558^2 + 3297840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14416009172964.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 159422164 + ... + 159512564.

Almost surely, 2^{14416009172964} is an apocalyptic number.

14416009172964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14416009172964 is the 3796842-nd square number.

It is an amenable number.

14416009172964 is an abundant number, since it is smaller than the sum of its proper divisors (27974391476997).

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

14416009172964 is an frugal number, since it uses more digits than its factorization.

14416009172964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180826 (or 90413 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

It can be divided in two parts, 1441600 and 9172964, that added together give a square (10614564 = 3258²).

The spelling of 14416009172964 in words is "fourteen trillion, four hundred sixteen billion, nine million, one hundred seventy-two thousand, nine hundred sixty-four".