1648327312384 has 99 divisors (see below), whose sum is σ = 3362830925727. Its totient is φ = 807545217024.

The previous prime is 1648327312367. The next prime is 1648327312417. The reversal of 1648327312384 is 4832137238461.

The square root of 1648327312384 is 1283872.

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 191381750784 + 1456945561600 = 437472^2 + 1207040^2 .

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, 2177446534 + ... + 2177447290.

Almost surely, 2^{1648327312384} is an apocalyptic number.

1648327312384 is the 1283872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1648327312384

1648327312384 is an abundant number, since it is smaller than the sum of its proper divisors (1714503613343).

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

1648327312384 is an frugal number, since it uses more digits than its factorization.

1648327312384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 812 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 52.

The spelling of 1648327312384 in words is "one trillion, six hundred forty-eight billion, three hundred twenty-seven million, three hundred twelve thousand, three hundred eighty-four".