382456427470992 has 640 divisors, whose sum is σ = 1326911729356800. Its totient is φ = 103032199065600.

The previous prime is 382456427470951. The next prime is 382456427471023. The reversal of 382456427470992 is 299074724654283.

382456427470992 is a `hidden beast` number, since 3 + 8 + 2 + 4 + 5 + 64 + 2 + 7 + 470 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 382456427470992.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14159270767 + ... + 14159297777.

It is an arithmetic number, because the mean of its divisors is an integer number (2073299577120).

Almost surely, 2^{382456427470992} 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 382456427470992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663455864678400).

382456427470992 is an abundant number, since it is smaller than the sum of its proper divisors (944455301885808).

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

382456427470992 is a wasteful number, since it uses less digits than its factorization.

382456427470992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28212 (or 28200 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 382456427470992 in words is "three hundred eighty-two trillion, four hundred fifty-six billion, four hundred twenty-seven million, four hundred seventy thousand, nine hundred ninety-two".