394147907344 has 135 divisors (see below), whose sum is σ = 812020416597. Its totient is φ = 185330102400.

The previous prime is 394147907339. The next prime is 394147907353. The reversal of 394147907344 is 443709741493.

The square root of 394147907344 is 627812.

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

It can be written as a sum of positive squares in only one way, i.e., 12816956944 + 381330950400 = 113212^2 + 617520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4748769927 + ... + 4748770009.

Almost surely, 2^394147907344 is an apocalyptic number.

394147907344 is the 627812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394147907344

394147907344 is an abundant number, since it is smaller than the sum of its proper divisors (417872509253).

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

394147907344 is an frugal number, since it uses more digits than its factorization.

394147907344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 55.

The spelling of 394147907344 in words is "three hundred ninety-four billion, one hundred forty-seven million, nine hundred seven thousand, three hundred forty-four".