18149016600 has 768 divisors, whose sum is σ = 77370048000. Its totient is φ = 3844454400.

The previous prime is 18149016527. The next prime is 18149016607. The reversal of 18149016600 is 661094181.

It is a happy number.

18149016600 is a `hidden beast` number, since 1 + 8 + 1 + 49 + 0 + 1 + 6 + 600 = 666.

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 (18149016607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14671182 + ... + 14672418.

It is an arithmetic number, because the mean of its divisors is an integer number (100742250).

Almost surely, 2^18149016600 is an apocalyptic number.

18149016600 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 18149016600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38685024000).

18149016600 is an abundant number, since it is smaller than the sum of its proper divisors (59221031400).

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

18149016600 is a wasteful number, since it uses less digits than its factorization.

18149016600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 18149016600 in words is "eighteen billion, one hundred forty-nine million, sixteen thousand, six hundred".