16322617600 has 81 divisors (see below), whose sum is σ = 40426342887. Its totient is φ = 6524958720.

The previous prime is 16322617589. The next prime is 16322617651. The reversal of 16322617600 is 671622361.

It is a happy number.

The square root of 16322617600 is 127760.

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 3257213184 + 13065404416 = 57072^2 + 114304^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10220002 + ... + 10221598.

Almost surely, 2^16322617600 is an apocalyptic number.

16322617600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16322617600 is the 127760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16322617600

16322617600 is an abundant number, since it is smaller than the sum of its proper divisors (24103725287).

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

16322617600 is an frugal number, since it uses more digits than its factorization.

16322617600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 16322617600 in words is "sixteen billion, three hundred twenty-two million, six hundred seventeen thousand, six hundred".