18676854000 has 240 divisors, whose sum is σ = 74551389120. Its totient is φ = 4268966400.

The previous prime is 18676853977. The next prime is 18676854011. The reversal of 18676854000 is 45867681.

It is a happy number.

18676854000 is a `hidden beast` number, since 186 + 7 + 68 + 5 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51886 + ... + 200114.

It is an arithmetic number, because the mean of its divisors is an integer number (310630788).

Almost surely, 2^18676854000 is an apocalyptic number.

18676854000 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 18676854000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37275694560).

18676854000 is an abundant number, since it is smaller than the sum of its proper divisors (55874535120).

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

18676854000 is a wasteful number, since it uses less digits than its factorization.

18676854000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148265 (or 148246 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 18676854000 in words is "eighteen billion, six hundred seventy-six million, eight hundred fifty-four thousand".