16498008643200 has 1536 divisors, whose sum is σ = 65493278638080. Its totient is φ = 3571236864000.

The previous prime is 16498008643177. The next prime is 16498008643217. The reversal of 16498008643200 is 234680089461.

It is a super-2 number, since 2×16498008643200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23875554855 + ... + 23875555545.

It is an arithmetic number, because the mean of its divisors is an integer number (42638853280).

Almost surely, 2^{16498008643200} is an apocalyptic number.

16498008643200 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 16498008643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32746639319040).

16498008643200 is an abundant number, since it is smaller than the sum of its proper divisors (48995269994880).

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

16498008643200 is a wasteful number, since it uses less digits than its factorization.

16498008643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 16498008643200 in words is "sixteen trillion, four hundred ninety-eight billion, eight million, six hundred forty-three thousand, two hundred".