18046821600 has 288 divisors, whose sum is σ = 65673296640. Its totient is φ = 4782712320.

The previous prime is 18046821589. The next prime is 18046821643. The reversal of 18046821600 is 612864081.

18046821600 is a `hidden beast` number, since 1 + 8 + 0 + 46 + 8 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 3604699 + ... + 3609701.

It is an arithmetic number, because the mean of its divisors is an integer number (228032280).

Almost surely, 2^18046821600 is an apocalyptic number.

18046821600 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 18046821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32836648320).

18046821600 is an abundant number, since it is smaller than the sum of its proper divisors (47626475040).

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

18046821600 is a wasteful number, since it uses less digits than its factorization.

18046821600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5199 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 18046821600 in words is "eighteen billion, forty-six million, eight hundred twenty-one thousand, six hundred".