18274921200 has 180 divisors, whose sum is σ = 63501919000. Its totient is φ = 4866946560.

The previous prime is 18274921199. The next prime is 18274921219. The reversal of 18274921200 is 212947281.

It is a tau number, because it is divible by the number of its divisors (180).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3175926 + ... + 3181674.

Almost surely, 2^18274921200 is an apocalyptic number.

18274921200 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 18274921200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31750959500).

18274921200 is an abundant number, since it is smaller than the sum of its proper divisors (45226997800).

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

18274921200 is a wasteful number, since it uses less digits than its factorization.

18274921200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656 (or 6642 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 18274921200 in words is "eighteen billion, two hundred seventy-four million, nine hundred twenty-one thousand, two hundred".