2409048556321 has 9 divisors (see below), whose sum is σ = 2647981229299. Its totient is φ = 2190028621000.

The previous prime is 2409048556289. The next prime is 2409048556331. The reversal of 2409048556321 is 1236558409042.

The square root of 2409048556321 is 1552111.

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., 2326116075921 + 82932480400 = 1525161^2 + 287980^2 .

It is not a de Polignac number, because 2409048556321 - 2⁵ = 2409048556289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2409048556331) 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, 17002671 + ... + 17143771.

Almost surely, 2^{2409048556321} is an apocalyptic number.

2409048556321 is the 1552111-st square number.

2409048556321 is the 776056-th centered octagonal number.

It is an amenable number.

2409048556321 is a deficient number, since it is larger than the sum of its proper divisors (238932672978).

2409048556321 is an frugal number, since it uses more digits than its factorization.

2409048556321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282224 (or 141112 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

Multiplying 2409048556321 by its sum of digits (49), we get a square (118043379259729 = 10864777²).

The spelling of 2409048556321 in words is "two trillion, four hundred nine billion, forty-eight million, five hundred fifty-six thousand, three hundred twenty-one".