2306264412321 has 9 divisors (see below), whose sum is σ = 3331277398579. Its totient is φ = 1537506570936.

The previous prime is 2306264412289. The next prime is 2306264412341. The reversal of 2306264412321 is 1232144626032.

The square root of 2306264412321 is 1518639.

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

2306264412321 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 2 + 644 + 1 + 2 + 3 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21825630225 + 2284438782096 = 147735^2 + 1511436^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2306264412321 - 2⁵ = 2306264412289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2306264412341) 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, 4302811 + ... + 4809023.

Almost surely, 2^{2306264412321} is an apocalyptic number.

2306264412321 is the 1518639-th square number.

2306264412321 is the 759320-th centered octagonal number.

It is an amenable number.

2306264412321 is a deficient number, since it is larger than the sum of its proper divisors (1025012986258).

2306264412321 is an frugal number, since it uses more digits than its factorization.

2306264412321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012432 (or 506216 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Multiplying 2306264412321 by its sum of digits (36), we get a square (83025518843556 = 9111834²).

The spelling of 2306264412321 in words is "two trillion, three hundred six billion, two hundred sixty-four million, four hundred twelve thousand, three hundred twenty-one".