381246972304 has 45 divisors (see below), whose sum is σ = 811980004129. Its totient is φ = 173281729280.

The previous prime is 381246972289. The next prime is 381246972319. The reversal of 381246972304 is 403279642183.

The square root of 381246972304 is 617452.

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

It is an interprime number because it is at equal distance from previous prime (381246972289) and next prime (381246972319).

It can be written as a sum of positive squares in only one way, i.e., 44327091600 + 336919880704 = 210540^2 + 580448^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27160872 + ... + 27174904.

Almost surely, 2^381246972304 is an apocalyptic number.

381246972304 is the 617452-nd square number.

It is an amenable number.

381246972304 is an abundant number, since it is smaller than the sum of its proper divisors (430733031825).

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

381246972304 is an frugal number, since it uses more digits than its factorization.

381246972304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28096 (or 14046 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 381246972304 by its sum of digits (49), we get a square (18681101642896 = 4322164²).

The spelling of 381246972304 in words is "three hundred eighty-one billion, two hundred forty-six million, nine hundred seventy-two thousand, three hundred four".