12393923584 has 165 divisors, whose sum is σ = 29316137111. Its totient is φ = 5236869120.

The previous prime is 12393923557. The next prime is 12393923599. The reversal of 12393923584 is 48532939321.

The square root of 12393923584 is 111328.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

Its product of digits (1399680) is a multiple of the sum of its prime divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 174562269 + ... + 174562339.

Almost surely, 2^12393923584 is an apocalyptic number.

12393923584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12393923584 is the 111328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12393923584

12393923584 is an abundant number, since it is smaller than the sum of its proper divisors (16922213527).

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

12393923584 is an frugal number, since it uses more digits than its factorization.

12393923584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 80 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 49.

Multiplying 12393923584 by its sum of digits (49), we get a square (607302255616 = 779296²).

12393923584 divided by its sum of digits (49) gives a square (252937216 = 15904²).

The spelling of 12393923584 in words is "twelve billion, three hundred ninety-three million, nine hundred twenty-three thousand, five hundred eighty-four".