13183485642649 has 27 divisors (see below), whose sum is σ = 15419990222877. Its totient is φ = 11238499535424.

The previous prime is 13183485642637. The next prime is 13183485642671. The reversal of 13183485642649 is 94624658438131.

The square root of 13183485642649 is 3630907.

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 963846807049 + 12219638835600 = 981757^2 + 3495660^2 .

It is not a de Polignac number, because 13183485642649 - 2¹¹ = 13183485640601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13183485640649) 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, 5007019437 + ... + 5007022069.

Almost surely, 2^{13183485642649} is an apocalyptic number.

13183485642649 is the 3630907-th square number.

13183485642649 is the 1815454-th centered octagonal number.

It is an amenable number.

13183485642649 is a deficient number, since it is larger than the sum of its proper divisors (2236504580228).

13183485642649 is an frugal number, since it uses more digits than its factorization.

13183485642649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5674 (or 2837 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 64.

Multiplying 13183485642649 by its sum of digits (64), we get a square (843743081129536 = 29047256²).

The spelling of 13183485642649 in words is "thirteen trillion, one hundred eighty-three billion, four hundred eighty-five million, six hundred forty-two thousand, six hundred forty-nine".