382385463552 has 180 divisors, whose sum is σ = 1141093578240. Its totient is φ = 127362419712.

The previous prime is 382385463527. The next prime is 382385463601. The reversal of 382385463552 is 255364583283.

382385463552 is a `hidden beast` number, since 3 + 8 + 2 + 3 + 85 + 4 + 6 + 3 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29500849 + ... + 29513807.

It is an arithmetic number, because the mean of its divisors is an integer number (6339408768).

Almost surely, 2^382385463552 is an apocalyptic number.

382385463552 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 382385463552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570546789120).

382385463552 is an abundant number, since it is smaller than the sum of its proper divisors (758708114688).

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

382385463552 is a wasteful number, since it uses less digits than its factorization.

382385463552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14410 (or 14387 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 382385463552 in words is "three hundred eighty-two billion, three hundred eighty-five million, four hundred sixty-three thousand, five hundred fifty-two".