10998913564521 has 81 divisors (see below), whose sum is σ = 16649257069341. Its totient is φ = 6996883695984.

The previous prime is 10998913564487. The next prime is 10998913564553. The reversal of 10998913564521 is 12546531989901.

The square root of 10998913564521 is 3316461.

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

10998913564521 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 8 + 9 + 13 + 564 + 52 + 1 = 666.

10998913564521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10998913564521 - 2⁴¹ = 8799890308969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10998913564591) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20107702770 + ... + 20107703316.

Almost surely, 2^{10998913564521} is an apocalyptic number.

10998913564521 is the 3316461-st square number.

10998913564521 is the 1658231-st centered octagonal number.

It is an amenable number.

10998913564521 is a deficient number, since it is larger than the sum of its proper divisors (5650343504820).

10998913564521 is an frugal number, since it uses more digits than its factorization.

10998913564521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 10998913564521 in words is "ten trillion, nine hundred ninety-eight billion, nine hundred thirteen million, five hundred sixty-four thousand, five hundred twenty-one".