382834054512 has 720 divisors, whose sum is σ = 1399103701632. Its totient is φ = 100446635520.

The previous prime is 382834054507. The next prime is 382834054567. The reversal of 382834054512 is 215450438283.

382834054512 is a `hidden beast` number, since 3 + 8 + 2 + 83 + 4 + 0 + 54 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 819772903 + ... + 819773369.

Almost surely, 2^382834054512 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 382834054512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699551850816).

382834054512 is an abundant number, since it is smaller than the sum of its proper divisors (1016269647120).

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

382834054512 is a wasteful number, since it uses less digits than its factorization.

382834054512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 382834054512 in words is "three hundred eighty-two billion, eight hundred thirty-four million, fifty-four thousand, five hundred twelve".