382655730707712 has 1296 divisors, whose sum is σ = 1515081112376832. Its totient is φ = 95069555159040.

The previous prime is 382655730707687. The next prime is 382655730707749. The reversal of 382655730707712 is 217707037556283.

382655730707712 is a `hidden beast` number, since 3 + 8 + 2 + 6 + 557 + 3 + 0 + 7 + 0 + 7 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a self number, because there is not a number n which added to its sum of digits gives 382655730707712.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 770944483 + ... + 771440669.

It is an arithmetic number, because the mean of its divisors is an integer number (1169044068192).

Almost surely, 2^{382655730707712} is an apocalyptic number.

382655730707712 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 382655730707712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757540556188416).

382655730707712 is an abundant number, since it is smaller than the sum of its proper divisors (1132425381669120).

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

382655730707712 is a wasteful number, since it uses less digits than its factorization.

382655730707712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496266 (or 496233 counting only the distinct ones).

The product of its (nonzero) digits is 103723200, while the sum is 63.

The spelling of 382655730707712 in words is "three hundred eighty-two trillion, six hundred fifty-five billion, seven hundred thirty million, seven hundred seven thousand, seven hundred twelve".