16442667313727 has 12 divisors (see below), whose sum is σ = 16781832783576. Its totient is φ = 16106764811280.

The previous prime is 16442667313621. The next prime is 16442667313739. The reversal of 16442667313727 is 72731376624461.

It is not a de Polignac number, because 16442667313727 - 2²² = 16442663119423 is a prime.

It is a super-3 number, since 3×16442667313727³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442667313747) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1682924 + ... + 5976417.

It is an arithmetic number, because the mean of its divisors is an integer number (1398486065298).

Almost surely, 2^{16442667313727} is an apocalyptic number.

16442667313727 is a deficient number, since it is larger than the sum of its proper divisors (339165469849).

16442667313727 is an frugal number, since it uses more digits than its factorization.

16442667313727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7659766 (or 7659587 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 59.

The spelling of 16442667313727 in words is "sixteen trillion, four hundred forty-two billion, six hundred sixty-seven million, three hundred thirteen thousand, seven hundred twenty-seven".