18199849948320 has 192 divisors, whose sum is σ = 59826971070720. Its totient is φ = 4641903771648.

The previous prime is 18199849948207. The next prime is 18199849948321. The reversal of 18199849948320 is 2384994899181.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (18199849948321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151508122 + ... + 151628198.

It is an arithmetic number, because the mean of its divisors is an integer number (311598807660).

Almost surely, 2^{18199849948320} is an apocalyptic number.

18199849948320 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 18199849948320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29913485535360).

18199849948320 is an abundant number, since it is smaller than the sum of its proper divisors (41627121122400).

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

18199849948320 is a wasteful number, since it uses less digits than its factorization.

18199849948320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133847 (or 133839 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 75.

The spelling of 18199849948320 in words is "eighteen trillion, one hundred ninety-nine billion, eight hundred forty-nine million, nine hundred forty-eight thousand, three hundred twenty".