238820064320 has 56 divisors (see below), whose sum is σ = 568732266648. Its totient is φ = 95520972800.

The previous prime is 238820064239. The next prime is 238820064397. The reversal of 238820064320 is 23460028832.

238820064320 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 4 ways, for example, as 621405184 + 238198659136 = 24928^2 + 488056^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 7658360 + ... + 7689480.

It is an arithmetic number, because the mean of its divisors is an integer number (10155933333).

Almost surely, 2^238820064320 is an apocalyptic number.

238820064320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238820064320 is an abundant number, since it is smaller than the sum of its proper divisors (329912202328).

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

238820064320 is a wasteful number, since it uses less digits than its factorization.

238820064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55119 (or 55109 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 238820064320 in words is "two hundred thirty-eight billion, eight hundred twenty million, sixty-four thousand, three hundred twenty".