382412614752000 has 4032 divisors, whose sum is σ = 1762554891202560. Its totient is φ = 80702189568000.

The previous prime is 382412614751989. The next prime is 382412614752013. The reversal of 382412614752000 is 257416214283.

382412614752000 is a `hidden beast` number, since 3 + 8 + 2 + 4 + 1 + 2 + 614 + 7 + 5 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 108918430245 + ... + 108918433755.

It is an arithmetic number, because the mean of its divisors is an integer number (437141590080).

Almost surely, 2^{382412614752000} is an apocalyptic number.

382412614752000 is a gapful number since it is divisible by the number (30) 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 382412614752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881277445601280).

382412614752000 is an abundant number, since it is smaller than the sum of its proper divisors (1380142276450560).

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

382412614752000 is an equidigital number, since it uses as much as digits as its factorization.

382412614752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 382412614752000 in words is "three hundred eighty-two trillion, four hundred twelve billion, six hundred fourteen million, seven hundred fifty-two thousand".