18808461000 has 576 divisors, whose sum is σ = 76772292480. Its totient is φ = 4067884800.

The previous prime is 18808460911. The next prime is 18808461011. The reversal of 18808461000 is 16480881.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 22742587 + ... + 22743413.

It is an arithmetic number, because the mean of its divisors is an integer number (133285230).

Almost surely, 2^18808461000 is an apocalyptic number.

18808461000 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 18808461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38386146240).

18808461000 is an abundant number, since it is smaller than the sum of its proper divisors (57963831480).

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

18808461000 is a wasteful number, since it uses less digits than its factorization.

18808461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 18808461000 in words is "eighteen billion, eight hundred eight million, four hundred sixty-one thousand".