382655507168 has 72 divisors (see below), whose sum is σ = 833341354776. Its totient is φ = 172826184960.

The previous prime is 382655507167. The next prime is 382655507197. The reversal of 382655507168 is 861705556283.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382655507167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293171 + ... + 922637.

It is an arithmetic number, because the mean of its divisors is an integer number (11574185483).

Almost surely, 2^382655507168 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 382655507168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416670677388).

382655507168 is an abundant number, since it is smaller than the sum of its proper divisors (450685847608).

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

382655507168 is a wasteful number, since it uses less digits than its factorization.

382655507168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629656 (or 629637 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 56.

The spelling of 382655507168 in words is "three hundred eighty-two billion, six hundred fifty-five million, five hundred seven thousand, one hundred sixty-eight".