239112564460225 has 81 divisors (see below), whose sum is σ = 311222604496041. Its totient is φ = 182233959494400.

The previous prime is 239112564460183. The next prime is 239112564460249. The reversal of 239112564460225 is 522064465211932.

It is a happy number.

The square root of 239112564460225 is 15463265.

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 44534280906801 + 194578283553424 = 6673401^2 + 13949132^2 .

It is not a de Polignac number, because 239112564460225 - 2¹¹ = 239112564458177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 160586006281 + ... + 160586007769.

Almost surely, 2^{239112564460225} is an apocalyptic number.

239112564460225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

239112564460225 is the 15463265-th square number.

239112564460225 is the 7731633-rd centered octagonal number.

It is an amenable number.

239112564460225 is a deficient number, since it is larger than the sum of its proper divisors (72110040035816).

239112564460225 is an frugal number, since it uses more digits than its factorization.

239112564460225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 239112564460225 in words is "two hundred thirty-nine trillion, one hundred twelve billion, five hundred sixty-four million, four hundred sixty thousand, two hundred twenty-five".