14009315381604 has 63 divisors (see below), whose sum is σ = 36758168176233. Its totient is φ = 4669704421632.

The previous prime is 14009315381563. The next prime is 14009315381623. The reversal of 14009315381604 is 40618351390041.

The square root of 14009315381604 is 3742902.

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

14009315381604 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 9 + 3 + 1 + 5 + 38 + 1 + 604 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13893138022500 + 116177359104 = 3727350^2 + 340848^2 .

It is a super-2 number, since 2×14009315381604² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14009315381604.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 202082052 + ... + 202151364.

Almost surely, 2^{14009315381604} is an apocalyptic number.

14009315381604 is the 3742902-nd square number.

It is an amenable number.

14009315381604 is an abundant number, since it is smaller than the sum of its proper divisors (22748852794629).

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

14009315381604 is an frugal number, since it uses more digits than its factorization.

14009315381604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138648 (or 69318 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 14009315381604 in words is "fourteen trillion, nine billion, three hundred fifteen million, three hundred eighty-one thousand, six hundred four".