382915509255552 has 512 divisors, whose sum is σ = 1292572219760640. Its totient is φ = 97704448819200.

The previous prime is 382915509255551. The next prime is 382915509255661. The reversal of 382915509255552 is 255552905519283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382915509255551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4152104802 + ... + 4152197022.

It is an arithmetic number, because the mean of its divisors is an integer number (2524555116720).

Almost surely, 2^{382915509255552} is an apocalyptic number.

382915509255552 is a gapful number since it is divisible by the number (32) 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 382915509255552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646286109880320).

382915509255552 is an abundant number, since it is smaller than the sum of its proper divisors (909656710505088).

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

382915509255552 is a wasteful number, since it uses less digits than its factorization.

382915509255552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96122 (or 96110 counting only the distinct ones).

The product of its (nonzero) digits is 243000000, while the sum is 66.

The spelling of 382915509255552 in words is "three hundred eighty-two trillion, nine hundred fifteen billion, five hundred nine million, two hundred fifty-five thousand, five hundred fifty-two".