15440129348449 has 9 divisors (see below), whose sum is σ = 16719248632089. Its totient is φ = 14252379938160.

The previous prime is 15440129348443. The next prime is 15440129348461. The reversal of 15440129348449 is 94484392104451.

The square root of 15440129348449 is 3929393.

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 2439547229025 + 13000582119424 = 1561905^2 + 3605632^2 .

It is not a de Polignac number, because 15440129348449 - 2²³ = 15440120959841 is a prime.

It is a super-2 number, since 2×15440129348449² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15440129348393 and 15440129348402.

It is not an unprimeable number, because it can be changed into a prime (15440129348443) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50930979 + ... + 51233239.

Almost surely, 2^{15440129348449} is an apocalyptic number.

15440129348449 is the 3929393-rd square number.

15440129348449 is the 1964697-th centered octagonal number.

It is an amenable number.

15440129348449 is a deficient number, since it is larger than the sum of its proper divisors (1279119283640).

15440129348449 is an frugal number, since it uses more digits than its factorization.

15440129348449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604548 (or 302274 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 58.

The spelling of 15440129348449 in words is "fifteen trillion, four hundred forty billion, one hundred twenty-nine million, three hundred forty-eight thousand, four hundred forty-nine".