381093859584 has 189 divisors, whose sum is σ = 1141325553333. Its totient is φ = 126942391296.

The previous prime is 381093859547. The next prime is 381093859613. The reversal of 381093859584 is 485958390183.

The square root of 381093859584 is 617328.

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

381093859584 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 9 + 38 + 595 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25687113984 + 355406745600 = 160272^2 + 596160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 266684982 + ... + 266686410.

Almost surely, 2^381093859584 is an apocalyptic number.

381093859584 is the 617328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381093859584

381093859584 is an abundant number, since it is smaller than the sum of its proper divisors (760231693749).

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

381093859584 is an frugal number, since it uses more digits than its factorization.

381093859584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 381093859584 in words is "three hundred eighty-one billion, ninety-three million, eight hundred fifty-nine thousand, five hundred eighty-four".