18714240000 has 825 divisors, whose sum is σ = 73701991407. Its totient is φ = 4727808000.

The previous prime is 18714239989. The next prime is 18714240037. The reversal of 18714240000 is 4241781.

The square root of 18714240000 is 136800.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1467196416 + 17247043584 = 38304^2 + 131328^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 984959991 + ... + 984960009.

Almost surely, 2^18714240000 is an apocalyptic number.

18714240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18714240000 is the 136800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18714240000

18714240000 is an abundant number, since it is smaller than the sum of its proper divisors (54987751407).

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

18714240000 is an frugal number, since it uses more digits than its factorization.

18714240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 18714240000 its reverse (4241781), we get a palindrome (18718481781).

The spelling of 18714240000 in words is "eighteen billion, seven hundred fourteen million, two hundred forty thousand".