238663515024 has 135 divisors (see below), whose sum is σ = 734365419697. Its totient is φ = 72302736000.

The previous prime is 238663515019. The next prime is 238663515031. The reversal of 238663515024 is 420515366832.

The square root of 238663515024 is 488532.

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

238663515024 is a `hidden beast` number, since 2 + 3 + 8 + 6 + 635 + 1 + 5 + 0 + 2 + 4 = 666.

238663515024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 96142164624 + 142521350400 = 310068^2 + 377520^2 .

It is a super-2 number, since 2×238663515024² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64484374 + ... + 64488074.

Almost surely, 2^238663515024 is an apocalyptic number.

238663515024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

238663515024 is the 488532-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238663515024

238663515024 is an abundant number, since it is smaller than the sum of its proper divisors (495701904673).

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

238663515024 is an equidigital number, since it uses as much as digits as its factorization.

238663515024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7438 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 238663515024 in words is "two hundred thirty-eight billion, six hundred sixty-three million, five hundred fifteen thousand, twenty-four".