18691134000 has 640 divisors, whose sum is σ = 78440693760. Its totient is φ = 3712896000.

The previous prime is 18691133999. The next prime is 18691134019. The reversal of 18691134000 is 43119681.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 10625121 + ... + 10626879.

It is an arithmetic number, because the mean of its divisors is an integer number (122563584).

Almost surely, 2^18691134000 is an apocalyptic number.

18691134000 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 18691134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39220346880).

18691134000 is an abundant number, since it is smaller than the sum of its proper divisors (59749559760).

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

18691134000 is a wasteful number, since it uses less digits than its factorization.

18691134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 18691134000 in words is "eighteen billion, six hundred ninety-one million, one hundred thirty-four thousand".