15399290701249 has 81 divisors (see below), whose sum is σ = 20102876120457. Its totient is φ = 11756003208768.

The previous prime is 15399290701243. The next prime is 15399290701303. The reversal of 15399290701249 is 94210709299351.

The square root of 15399290701249 is 3924193.

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 1974629196225 + 13424661505024 = 1405215^2 + 3663968^2 .

It is not a de Polignac number, because 15399290701249 - 2³ = 15399290701241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (15399290701241) 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, 10355944584 + ... + 10355946070.

Almost surely, 2^{15399290701249} is an apocalyptic number.

15399290701249 is the 3924193-rd square number.

15399290701249 is the 1962097-th centered octagonal number.

It is an amenable number.

15399290701249 is a deficient number, since it is larger than the sum of its proper divisors (4703585419208).

15399290701249 is an frugal number, since it uses more digits than its factorization.

15399290701249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 61.

The spelling of 15399290701249 in words is "fifteen trillion, three hundred ninety-nine billion, two hundred ninety million, seven hundred one thousand, two hundred forty-nine".