13649482561 has 81 divisors (see below), whose sum is σ = 17554089987. Its totient is φ = 10598908320.

The previous prime is 13649482547. The next prime is 13649482603. The reversal of 13649482561 is 16528494631.

The square root of 13649482561 is 116831.

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., 2019154225 + 11630328336 = 44935^2 + 107844^2 .

It is not a de Polignac number, because 13649482561 - 2¹⁹ = 13648958273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13649482531) 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, 317429806 + ... + 317429848.

Almost surely, 2^13649482561 is an apocalyptic number.

13649482561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13649482561 is the 116831-st square number.

13649482561 is the 58416-th centered octagonal number.

It is an amenable number.

13649482561 is a deficient number, since it is larger than the sum of its proper divisors (3904607426).

13649482561 is a wasteful number, since it uses less digits than its factorization.

13649482561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 86 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 49.

Multiplying 13649482561 by its sum of digits (49), we get a square (668824645489 = 817817²).

The spelling of 13649482561 in words is "thirteen billion, six hundred forty-nine million, four hundred eighty-two thousand, five hundred sixty-one".