18662400000 has 588 divisors, whose sum is σ = 69943253814. Its totient is φ = 4976640000.

The previous prime is 18662399983. The next prime is 18662400007. The reversal of 18662400000 is 426681.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 26873856 + 18635526144 = 5184^2 + 136512^2 .

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

It is not an unprimeable number, because it can be changed into a prime (18662400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3732479998 + ... + 3732480002.

Almost surely, 2^18662400000 is an apocalyptic number.

18662400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18662400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34971626907).

18662400000 is an abundant number, since it is smaller than the sum of its proper divisors (51280853814).

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

18662400000 is an frugal number, since it uses more digits than its factorization.

18662400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 10 counting only the distinct ones).

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

Adding to 18662400000 its reverse (426681), we get a palindrome (18662826681).

The spelling of 18662400000 in words is "eighteen billion, six hundred sixty-two million, four hundred thousand".