382814431744 has 80 divisors (see below), whose sum is σ = 799064481600. Its totient is φ = 182872391680.

The previous prime is 382814431739. The next prime is 382814431751. The reversal of 382814431744 is 447134418283.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10356207 + ... + 10393105.

It is an arithmetic number, because the mean of its divisors is an integer number (9988306020).

Almost surely, 2^382814431744 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 382814431744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399532240800).

382814431744 is an abundant number, since it is smaller than the sum of its proper divisors (416250049856).

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

382814431744 is an equidigital number, since it uses as much as digits as its factorization.

382814431744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37821 (or 37805 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 49.

The spelling of 382814431744 in words is "three hundred eighty-two billion, eight hundred fourteen million, four hundred thirty-one thousand, seven hundred forty-four".