16326513009664 has 297 divisors, whose sum is σ = 38889655707609. Its totient is φ = 6842527211520.

The previous prime is 16326513009661. The next prime is 16326513009671. The reversal of 16326513009664 is 46690031562361.

The square root of 16326513009664 is 4040608.

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., 2415164646400 + 13911348363264 = 1554080^2 + 3729792^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16326513009661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18489821767 + ... + 18489822649.

Almost surely, 2^{16326513009664} is an apocalyptic number.

16326513009664 is the 4040608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16326513009664

16326513009664 is an abundant number, since it is smaller than the sum of its proper divisors (22563142697945).

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

16326513009664 is an frugal number, since it uses more digits than its factorization.

16326513009664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 52.

The spelling of 16326513009664 in words is "sixteen trillion, three hundred twenty-six billion, five hundred thirteen million, nine thousand, six hundred sixty-four".