23122778218225 has 135 divisors (see below), whose sum is σ = 35336297709153. Its totient is φ = 15006571816320.

The previous prime is 23122778218201. The next prime is 23122778218273. The reversal of 23122778218225 is 52281287722132.

The square root of 23122778218225 is 4808615.

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 4493920892769 + 18628857325456 = 2119887^2 + 4316116^2 .

It is not a de Polignac number, because 23122778218225 - 2¹⁵ = 23122778185457 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 22384102309 + ... + 22384103341.

Almost surely, 2^{23122778218225} is an apocalyptic number.

23122778218225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23122778218225 is the 4808615-th square number.

23122778218225 is the 2404308-th centered octagonal number.

It is an amenable number.

23122778218225 is a deficient number, since it is larger than the sum of its proper divisors (12213519490928).

23122778218225 is an frugal number, since it uses more digits than its factorization.

23122778218225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 1064 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 52.

The spelling of 23122778218225 in words is "twenty-three trillion, one hundred twenty-two billion, seven hundred seventy-eight million, two hundred eighteen thousand, two hundred twenty-five".