13006070470449 has 27 divisors (see below), whose sum is σ = 21853864712043. Its totient is φ = 7431996992112.

The previous prime is 13006070470381. The next prime is 13006070470483. The reversal of 13006070470449 is 94407407060031.

The square root of 13006070470449 is 3606393.

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

13006070470449 is a `hidden beast` number, since 1 + 30 + 0 + 607 + 0 + 4 + 7 + 0 + 4 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11228296248225 + 1777774222224 = 3350865^2 + 1333332^2 .

It is not a de Polignac number, because 13006070470449 - 2²⁹ = 13005533599537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13006070470489) 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, 75648387 + ... + 75820119.

Almost surely, 2^{13006070470449} is an apocalyptic number.

13006070470449 is the 3606393-rd square number.

13006070470449 is the 1803197-th centered octagonal number.

It is an amenable number.

13006070470449 is a deficient number, since it is larger than the sum of its proper divisors (8847794241594).

13006070470449 is an frugal number, since it uses more digits than its factorization.

13006070470449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343486 (or 171743 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 13006070470449 in words is "thirteen trillion, six billion, seventy million, four hundred seventy thousand, four hundred forty-nine".