382814808090 has 128 divisors (see below), whose sum is σ = 1084495233024. Its totient is φ = 85258656000.

The previous prime is 382814808083. The next prime is 382814808133. The reversal of 382814808090 is 90808418283.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 693735 + ... + 1116645.

It is an arithmetic number, because the mean of its divisors is an integer number (8472619008).

Almost surely, 2^382814808090 is an apocalyptic number.

382814808090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 382814808090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542247616512).

382814808090 is an abundant number, since it is smaller than the sum of its proper divisors (701680424934).

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

382814808090 is a wasteful number, since it uses less digits than its factorization.

382814808090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423156.

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 382814808090 in words is "three hundred eighty-two billion, eight hundred fourteen million, eight hundred eight thousand, ninety".