16813790224 has 135 divisors (see below), whose sum is σ = 41752759293. Its totient is φ = 6535267200.

The previous prime is 16813790221. The next prime is 16813790243. The reversal of 16813790224 is 42209731861.

The square root of 16813790224 is 129668.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 79780624 + 16734009600 = 8932^2 + 129360^2 .

It is not an unprimeable number, because it can be changed into a prime (16813790221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39937534 + ... + 39937954.

Almost surely, 2^16813790224 is an apocalyptic number.

16813790224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16813790224 is the 129668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16813790224

16813790224 is an abundant number, since it is smaller than the sum of its proper divisors (24938969069).

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

16813790224 is an equidigital number, since it uses as much as digits as its factorization.

16813790224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 16813790224 in words is "sixteen billion, eight hundred thirteen million, seven hundred ninety thousand, two hundred twenty-four".