239667089004225 has 135 divisors (see below), whose sum is σ = 449012751499299. Its totient is φ = 122202281916000.

The previous prime is 239667089004199. The next prime is 239667089004281. The reversal of 239667089004225 is 522400980766932.

It is a happy number.

The square root of 239667089004225 is 15481185.

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

239667089004225 is a `hidden beast` number, since 2 + 3 + 9 + 66 + 70 + 89 + 0 + 0 + 422 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86280152041521 + 153386936962704 = 9288711^2 + 12384948^2 .

It is not a de Polignac number, because 239667089004225 - 2¹⁹ = 239667088479937 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, 122843202000 + ... + 122843203950.

Almost surely, 2^{239667089004225} is an apocalyptic number.

239667089004225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

239667089004225 is the 15481185-th square number.

239667089004225 is the 7740593-rd centered octagonal number.

It is an amenable number.

239667089004225 is a deficient number, since it is larger than the sum of its proper divisors (209345662495074).

239667089004225 is an frugal number, since it uses more digits than its factorization.

239667089004225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 239667089004225 in words is "two hundred thirty-nine trillion, six hundred sixty-seven billion, eighty-nine million, four thousand, two hundred twenty-five".