18514080000 has 1080 divisors, whose sum is σ = 76702097472. Its totient is φ = 4257792000.

The previous prime is 18514079999. The next prime is 18514080001. The reversal of 18514080000 is 8041581.

It is an interprime number because it is at equal distance from previous prime (18514079999) and next prime (18514080001).

It is not an unprimeable number, because it can be changed into a prime (18514080001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 430559979 + ... + 430560021.

Almost surely, 2^18514080000 is an apocalyptic number.

18514080000 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 18514080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38351048736).

18514080000 is an abundant number, since it is smaller than the sum of its proper divisors (58188017472).

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

18514080000 is a wasteful number, since it uses less digits than its factorization.

18514080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 18514080000 in words is "eighteen billion, five hundred fourteen million, eighty thousand".