18199641600 has 480 divisors, whose sum is σ = 76354755840. Its totient is φ = 4159365120.

The previous prime is 18199641589. The next prime is 18199641617. The reversal of 18199641600 is 614699181.

It is a tau number, because it is divible by the number of its divisors (480).

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, 2415439 + ... + 2422961.

It is an arithmetic number, because the mean of its divisors is an integer number (159072408).

Almost surely, 2^18199641600 is an apocalyptic number.

18199641600 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 18199641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38177377920).

18199641600 is an abundant number, since it is smaller than the sum of its proper divisors (58155114240).

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

18199641600 is an equidigital number, since it uses as much as digits as its factorization.

18199641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7567 (or 7540 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 18199641600 in words is "eighteen billion, one hundred ninety-nine million, six hundred forty-one thousand, six hundred".