18628313000 has 96 divisors (see below), whose sum is σ = 47913563880. Its totient is φ = 6773888000.

The previous prime is 18628312999. The next prime is 18628313017. The reversal of 18628313000 is 31382681.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11825692516 + 6802620484 = 108746^2 + 82478^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44024 + ... + 197976.

Almost surely, 2^18628313000 is an apocalyptic number.

18628313000 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 18628313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23956781940).

18628313000 is an abundant number, since it is smaller than the sum of its proper divisors (29285250880).

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

18628313000 is a wasteful number, since it uses less digits than its factorization.

18628313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153996 (or 153971 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

Adding to 18628313000 its reverse (31382681), we get a palindrome (18659695681).

The spelling of 18628313000 in words is "eighteen billion, six hundred twenty-eight million, three hundred thirteen thousand".