16442667617311 has 16 divisors (see below), whose sum is σ = 18580604636160. Its totient is φ = 14436834778080.

The previous prime is 16442667617303. The next prime is 16442667617329. The reversal of 16442667617311 is 11371676624461.

It is a happy number.

It is not a de Polignac number, because 16442667617311 - 2³ = 16442667617303 is a prime.

It is a super-3 number, since 3×16442667617311³ (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 (16442667617011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153555975 + ... + 153663016.

It is an arithmetic number, because the mean of its divisors is an integer number (1161287789760).

Almost surely, 2^{16442667617311} is an apocalyptic number.

16442667617311 is a deficient number, since it is larger than the sum of its proper divisors (2137937018849).

16442667617311 is a wasteful number, since it uses less digits than its factorization.

16442667617311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307219206.

The product of its digits is 6096384, while the sum is 55.

The spelling of 16442667617311 in words is "sixteen trillion, four hundred forty-two billion, six hundred sixty-seven million, six hundred seventeen thousand, three hundred eleven".