14138562576384 has 567 divisors, whose sum is σ = 45036892512577. Its totient is φ = 4435627474944.

The previous prime is 14138562576377. The next prime is 14138562576409. The reversal of 14138562576384 is 48367526583141.

The square root of 14138562576384 is 3760128.

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

14138562576384 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 8 + 56 + 2 + 576 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11007531417600 + 3131031158784 = 3317760^2 + 1769472^2 .

It is a Duffinian number.

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, 831680151544 + ... + 831680151560.

Almost surely, 2^{14138562576384} is an apocalyptic number.

14138562576384 is a droll number since its even prime factors and its odd prime factors have the same sum.

14138562576384 is the 3760128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14138562576384

14138562576384 is an abundant number, since it is smaller than the sum of its proper divisors (30898329936193).

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

14138562576384 is an frugal number, since it uses more digits than its factorization.

14138562576384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 22 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 14138562576384 in words is "fourteen trillion, one hundred thirty-eight billion, five hundred sixty-two million, five hundred seventy-six thousand, three hundred eighty-four".