13145461194889 has 81 divisors (see below), whose sum is σ = 14592069985311. Its totient is φ = 11841138368640.

The previous prime is 13145461194851. The next prime is 13145461194917. The reversal of 13145461194889 is 98849116454131.

The square root of 13145461194889 is 3625667.

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

It can be written as a sum of positive squares in 13 ways, for example, as 140119205625 + 13005341989264 = 374325^2 + 3606292^2 .

It is not a de Polignac number, because 13145461194889 - 2¹⁵ = 13145461162121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13145461194889.

It is not an unprimeable number, because it can be changed into a prime (13145461194839) 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, 120600561367 + ... + 120600561475.

Almost surely, 2^{13145461194889} is an apocalyptic number.

13145461194889 is the 3625667-th square number.

13145461194889 is the 1812834-th centered octagonal number.

It is an amenable number.

13145461194889 is a deficient number, since it is larger than the sum of its proper divisors (1446608790422).

13145461194889 is an frugal number, since it uses more digits than its factorization.

13145461194889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 206 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 64.

Multiplying 13145461194889 by its sum of digits (64), we get a square (841309516472896 = 29005336²).

The spelling of 13145461194889 in words is "thirteen trillion, one hundred forty-five billion, four hundred sixty-one million, one hundred ninety-four thousand, eight hundred eighty-nine".