5663724100164 has 135 divisors (see below), whose sum is σ = 15516258242667. Its totient is φ = 1741941822816.

The previous prime is 5663724100127. The next prime is 5663724100187. The reversal of 5663724100164 is 4610014273665.

The square root of 5663724100164 is 2379858.

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

5663724100164 is a `hidden beast` number, since 5 + 6 + 6 + 3 + 72 + 410 + 0 + 164 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2808164874564 + 2855559225600 = 1675758^2 + 1689840^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2413174839 + ... + 2413177185.

Almost surely, 2^{5663724100164} is an apocalyptic number.

5663724100164 is the 2379858-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5663724100164

5663724100164 is an abundant number, since it is smaller than the sum of its proper divisors (9852534142503).

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

5663724100164 is an frugal number, since it uses more digits than its factorization.

5663724100164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 5663724100164 in words is "five trillion, six hundred sixty-three billion, seven hundred twenty-four million, one hundred thousand, one hundred sixty-four".