13807853355664 has 45 divisors (see below), whose sum is σ = 26994844349499. Its totient is φ = 6841997621760.

The previous prime is 13807853355641. The next prime is 13807853355733. The reversal of 13807853355664 is 46655335870831.

It is a happy number.

The square root of 13807853355664 is 3715892.

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

It can be written as a sum of positive squares in 4 ways, for example, as 166708890000 + 13641144465664 = 408300^2 + 3693392^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13807853355596 and 13807853355605.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1679579074 + ... + 1679587294.

Almost surely, 2^{13807853355664} is an apocalyptic number.

13807853355664 is the 3715892-nd square number.

It is an amenable number.

13807853355664 is a deficient number, since it is larger than the sum of its proper divisors (13186990993835).

13807853355664 is an frugal number, since it uses more digits than its factorization.

13807853355664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16676 (or 8336 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 64.

Multiplying 13807853355664 by its sum of digits (64), we get a square (883702614762496 = 29727136²).

The spelling of 13807853355664 in words is "thirteen trillion, eight hundred seven billion, eight hundred fifty-three million, three hundred fifty-five thousand, six hundred sixty-four".