238854088559025 has 81 divisors (see below), whose sum is σ = 428709221205889. Its totient is φ = 127122899226240.

The previous prime is 238854088558997. The next prime is 238854088559027. The reversal of 238854088559025 is 520955880458832.

The square root of 238854088559025 is 15454905.

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

238854088559025 is a `hidden beast` number, since 2 + 3 + 8 + 8 + 5 + 4 + 0 + 8 + 8 + 5 + 590 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11134761460641 + 227719327098384 = 3336879^2 + 15090372^2 .

It is not a de Polignac number, because 238854088559025 - 2⁹ = 238854088558513 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (238854088559027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 166681149709 + ... + 166681151141.

Almost surely, 2^{238854088559025} is an apocalyptic number.

238854088559025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

238854088559025 is the 15454905-th square number.

238854088559025 is the 7727453-rd centered octagonal number.

It is an amenable number.

238854088559025 is a deficient number, since it is larger than the sum of its proper divisors (189855132646864).

238854088559025 is an frugal number, since it uses more digits than its factorization.

238854088559025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 1105920000, while the sum is 72.

The spelling of 238854088559025 in words is "two hundred thirty-eight trillion, eight hundred fifty-four billion, eighty-eight million, five hundred fifty-nine thousand, twenty-five".