16630681600 has 351 divisors, whose sum is σ = 46142270199. Its totient is φ = 5942476800.

The previous prime is 16630681577. The next prime is 16630681607. The reversal of 16630681600 is 618603661.

It is a happy number.

The square root of 16630681600 is 128960.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4286582784 + 12344098816 = 65472^2 + 111104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16630681600.

It is not an unprimeable number, because it can be changed into a prime (16630681607) 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, 536473585 + ... + 536473615.

Almost surely, 2^16630681600 is an apocalyptic number.

16630681600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16630681600 is the 128960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16630681600

16630681600 is an abundant number, since it is smaller than the sum of its proper divisors (29511588599).

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

16630681600 is an equidigital number, since it uses as much as digits as its factorization.

16630681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 16630681600 in words is "sixteen billion, six hundred thirty million, six hundred eighty-one thousand, six hundred".