382431468288 has 72 divisors (see below), whose sum is σ = 1017920143296. Its totient is φ = 127465292800.

The previous prime is 382431468277. The next prime is 382431468317. The reversal of 382431468288 is 882864134283.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12988303 + ... + 13017713.

It is an arithmetic number, because the mean of its divisors is an integer number (14137779768).

Almost surely, 2^382431468288 is an apocalyptic number.

It is an amenable number.

382431468288 is an abundant number, since it is smaller than the sum of its proper divisors (635488675008).

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

382431468288 is a wasteful number, since it uses less digits than its factorization.

382431468288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46361 (or 46347 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 57.

The spelling of 382431468288 in words is "three hundred eighty-two billion, four hundred thirty-one million, four hundred sixty-eight thousand, two hundred eighty-eight".