18662400000000 has 1071 divisors, whose sum is σ = 69951430493443. Its totient is φ = 4976640000000.

The previous prime is 18662399999977. The next prime is 18662400000017. The reversal of 18662400000000 is 426681.

The square root of 18662400000000 is 4320000.

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 13268709605376 + 5393690394624 = 3642624^2 + 2322432^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18662400000000.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3732479999998 + ... + 3732480000002.

Almost surely, 2^{18662400000000} is an apocalyptic number.

18662400000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18662400000000 is the 4320000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18662400000000

18662400000000 is an abundant number, since it is smaller than the sum of its proper divisors (51289030493443).

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

18662400000000 is an frugal number, since it uses more digits than its factorization.

18662400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

18662400000000 divided by its product of nonzero digits (2304) gives a 4-th power (8100000000 = 300⁴).

Adding to 18662400000000 its reverse (426681), we get a palindrome (18662400426681).

The spelling of 18662400000000 in words is "eighteen trillion, six hundred sixty-two billion, four hundred million", and thus it is an aban number.