18678114000 has 1200 divisors, whose sum is σ = 84985716816. Its totient is φ = 3919104000.

The previous prime is 18678113959. The next prime is 18678114001. The reversal of 18678114000 is 41187681.

18678114000 is a `hidden beast` number, since 186 + 78 + 1 + 1 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15434583696 + 3243530304 = 124236^2 + 56952^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18678114001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 103193910 + ... + 103194090.

Almost surely, 2^18678114000 is an apocalyptic number.

18678114000 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 18678114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42492858408).

18678114000 is an abundant number, since it is smaller than the sum of its proper divisors (66307602816).

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

18678114000 is a wasteful number, since it uses less digits than its factorization.

18678114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 18678114000 in words is "eighteen billion, six hundred seventy-eight million, one hundred fourteen thousand".