239808268224 has 140 divisors (see below), whose sum is σ = 812419359664. Its totient is φ = 68516637696.

The previous prime is 239808268201. The next prime is 239808268267. The reversal of 239808268224 is 422862808932.

239808268224 is a `hidden beast` number, since 2 + 398 + 0 + 8 + 26 + 8 + 224 = 666.

It is a super-2 number, since 2×239808268224² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3267949 + ... + 3340524.

Almost surely, 2^239808268224 is an apocalyptic number.

239808268224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

239808268224 is an abundant number, since it is smaller than the sum of its proper divisors (572611091440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

239808268224 is an equidigital number, since it uses as much as digits as its factorization.

239808268224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6608504 (or 6608485 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 239808268224 in words is "two hundred thirty-nine billion, eight hundred eight million, two hundred sixty-eight thousand, two hundred twenty-four".