382355508960 has 144 divisors (see below), whose sum is σ = 1308661610256. Its totient is φ = 101658783744.

The previous prime is 382355508937. The next prime is 382355509007. The reversal of 382355508960 is 69805553283.

382355508960 is a `hidden beast` number, since 3 + 8 + 2 + 3 + 5 + 550 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 382355508897 and 382355508906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91327 + ... + 879233.

It is an arithmetic number, because the mean of its divisors is an integer number (9087927849).

Almost surely, 2^382355508960 is an apocalyptic number.

382355508960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382355508960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654330805128).

382355508960 is an abundant number, since it is smaller than the sum of its proper divisors (926306101296).

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

382355508960 is a wasteful number, since it uses less digits than its factorization.

382355508960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788265 (or 788254 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 382355508960 in words is "three hundred eighty-two billion, three hundred fifty-five million, five hundred eight thousand, nine hundred sixty".