392141468944 has 45 divisors (see below), whose sum is σ = 807183317647. Its totient is φ = 184517123072.

The previous prime is 392141468897. The next prime is 392141468947. The reversal of 392141468944 is 449864141293.

The square root of 392141468944 is 626212.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3124810000 + 389016658944 = 55900^2 + 623712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (392141468947) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42577812 + ... + 42587020.

Almost surely, 2^392141468944 is an apocalyptic number.

392141468944 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

392141468944 is the 626212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392141468944

392141468944 is an abundant number, since it is smaller than the sum of its proper divisors (415041848703).

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

392141468944 is an frugal number, since it uses more digits than its factorization.

392141468944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18460 (or 9228 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 55.

The spelling of 392141468944 in words is "three hundred ninety-two billion, one hundred forty-one million, four hundred sixty-eight thousand, nine hundred forty-four".