382215721225968 has 1920 divisors, whose sum is σ = 1359911600087040. Its totient is φ = 101672934359040.

The previous prime is 382215721225939. The next prime is 382215721226021. The reversal of 382215721225968 is 869522127512283.

382215721225968 is a `hidden beast` number, since 3 + 8 + 2 + 2 + 1 + 572 + 1 + 2 + 2 + 59 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 322001449471 + ... + 322001450657.

It is an arithmetic number, because the mean of its divisors is an integer number (708287291712).

Almost surely, 2^{382215721225968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382215721225968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679955800043520).

382215721225968 is an abundant number, since it is smaller than the sum of its proper divisors (977695878861072).

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

382215721225968 is a wasteful number, since it uses less digits than its factorization.

382215721225968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1439 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 382215721225968 in words is "three hundred eighty-two trillion, two hundred fifteen billion, seven hundred twenty-one million, two hundred twenty-five thousand, nine hundred sixty-eight".