18249450912 has 288 divisors, whose sum is σ = 65315787264. Its totient is φ = 4695206400.

The previous prime is 18249450889. The next prime is 18249450913. The reversal of 18249450912 is 21905494281.

It is a happy number.

18249450912 is a `hidden beast` number, since 182 + 4 + 9 + 450 + 9 + 12 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (18249450913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2368987 + ... + 2376677.

It is an arithmetic number, because the mean of its divisors is an integer number (226790928).

Almost surely, 2^18249450912 is an apocalyptic number.

18249450912 is a gapful number since it is divisible by the number (12) 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 18249450912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32657893632).

18249450912 is an abundant number, since it is smaller than the sum of its proper divisors (47066336352).

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

18249450912 is a wasteful number, since it uses less digits than its factorization.

18249450912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7832 (or 7821 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 18249450912 in words is "eighteen billion, two hundred forty-nine million, four hundred fifty thousand, nine hundred twelve".