8553407993641 has 27 divisors (see below), whose sum is σ = 10305528501879. Its totient is φ = 7078191141168.

The previous prime is 8553407993639. The next prime is 8553407993707. The reversal of 8553407993641 is 1463997043558.

The square root of 8553407993641 is 2924621.

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

It can be written as a sum of positive squares in only one way, i.e., 4485199673241 + 4068208320400 = 2117829^2 + 2016980^2 .

It is not a de Polignac number, because 8553407993641 - 2¹ = 8553407993639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8553407993341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 593690860 + ... + 593705266.

Almost surely, 2^{8553407993641} is an apocalyptic number.

8553407993641 is the 2924621-st square number.

8553407993641 is the 1462311-st centered octagonal number.

It is an amenable number.

8553407993641 is a deficient number, since it is larger than the sum of its proper divisors (1752120508238).

8553407993641 is an frugal number, since it uses more digits than its factorization.

8553407993641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28886 (or 14443 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 64.

Multiplying 8553407993641 by its sum of digits (64), we get a square (547418111593024 = 23396968²).

The spelling of 8553407993641 in words is "eight trillion, five hundred fifty-three billion, four hundred seven million, nine hundred ninety-three thousand, six hundred forty-one".