15823346312449 has 27 divisors (see below), whose sum is σ = 17397516056067. Its totient is φ = 14385012889104.

The previous prime is 15823346312419. The next prime is 15823346312453. The reversal of 15823346312449 is 94421364332851.

It is a happy number.

The square root of 15823346312449 is 3977857.

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., 2340731703025 + 13482614609424 = 1529945^2 + 3671868^2 .

It is not a de Polignac number, because 15823346312449 - 2⁴³ = 7027253290241 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 15823346312449.

It is not an unprimeable number, because it can be changed into a prime (15823346312419) 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, 3464711164 + ... + 3464715730.

It is an arithmetic number, because the mean of its divisors is an integer number (644352446521).

Almost surely, 2^{15823346312449} is an apocalyptic number.

15823346312449 is the 3977857-th square number.

15823346312449 is the 1988929-th centered octagonal number.

It is an amenable number.

15823346312449 is a deficient number, since it is larger than the sum of its proper divisors (1574169743618).

15823346312449 is an frugal number, since it uses more digits than its factorization.

15823346312449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9294 (or 4647 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 55.

The spelling of 15823346312449 in words is "fifteen trillion, eight hundred twenty-three billion, three hundred forty-six million, three hundred twelve thousand, four hundred forty-nine".