16442667617304 has 64 divisors (see below), whose sum is σ = 41726959027200. Its totient is φ = 5398210376064.

The previous prime is 16442667617303. The next prime is 16442667617329. The reversal of 16442667617304 is 40371676624461.

It is a super-3 number, since 3×16442667617304³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442667617303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9139737 + ... + 10789815.

It is an arithmetic number, because the mean of its divisors is an integer number (651983734800).

Almost surely, 2^{16442667617304} is an apocalyptic number.

It is an amenable number.

16442667617304 is an abundant number, since it is smaller than the sum of its proper divisors (25284291409896).

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

16442667617304 is a wasteful number, since it uses less digits than its factorization.

16442667617304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656352 (or 1656348 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 16442667617304 in words is "sixteen trillion, four hundred forty-two billion, six hundred sixty-seven million, six hundred seventeen thousand, three hundred four".