393324648336 has 105 divisors (see below), whose sum is σ = 1142773872331. Its totient is φ = 131085638496.

The previous prime is 393324648307. The next prime is 393324648347. The reversal of 393324648336 is 633846423393.

The square root of 393324648336 is 627156.

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

393324648336 is a `hidden beast` number, since 3 + 93 + 3 + 2 + 46 + 483 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 67729945 + ... + 67735751.

Almost surely, 2^393324648336 is an apocalyptic number.

393324648336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

393324648336 is the 627156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393324648336

393324648336 is an abundant number, since it is smaller than the sum of its proper divisors (749449223995).

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

393324648336 is an frugal number, since it uses more digits than its factorization.

393324648336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11640 (or 5812 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 54.

The spelling of 393324648336 in words is "three hundred ninety-three billion, three hundred twenty-four million, six hundred forty-eight thousand, three hundred thirty-six".