23768403831225 has 27 divisors (see below), whose sum is σ = 42571983178543. Its totient is φ = 12676443041040.

The previous prime is 23768403831197. The next prime is 23768403831241. The reversal of 23768403831225 is 52213830486732.

The square root of 23768403831225 is 4875285.

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

23768403831225 is a `hidden beast` number, since 2 + 3 + 7 + 6 + 8 + 403 + 8 + 3 + 1 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8556625379241 + 15211778451984 = 2925171^2 + 3900228^2 .

It is not a de Polignac number, because 23768403831225 - 2¹⁹ = 23768403306937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72966766 + ... + 73291784.

Almost surely, 2^{23768403831225} is an apocalyptic number.

23768403831225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23768403831225 is the 4875285-th square number.

23768403831225 is the 2437643-rd centered octagonal number.

It is an amenable number.

23768403831225 is a deficient number, since it is larger than the sum of its proper divisors (18803579347318).

23768403831225 is an frugal number, since it uses more digits than its factorization.

23768403831225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650054 (or 325027 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 23768403831225 in words is "twenty-three trillion, seven hundred sixty-eight billion, four hundred three million, eight hundred thirty-one thousand, two hundred twenty-five".