238825787528832 has 128 divisors (see below), whose sum is σ = 740432533155840. Its totient is φ = 66784110763008.

The previous prime is 238825787528807. The next prime is 238825787528947.

238825787528832 is nontrivially palindromic in base 10.

238825787528832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×238825787528832² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945074508 + ... + 945327179.

It is an arithmetic number, because the mean of its divisors is an integer number (5784629165280).

Almost surely, 2^{238825787528832} is an apocalyptic number.

It is an amenable number.

238825787528832 is an abundant number, since it is smaller than the sum of its proper divisors (501606745627008).

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

238825787528832 is a wasteful number, since it uses less digits than its factorization.

238825787528832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890401758 (or 1890401746 counting only the distinct ones).

The product of its digits is 5780275200, while the sum is 78.

The spelling of 238825787528832 in words is "two hundred thirty-eight trillion, eight hundred twenty-five billion, seven hundred eighty-seven million, five hundred twenty-eight thousand, eight hundred thirty-two".