16442667312065 has 16 divisors (see below), whose sum is σ = 20061587379792. Its totient is φ = 12935603625984.

The previous prime is 16442667312017. The next prime is 16442667312103. The reversal of 16442667312065 is 56021376624461.

16442667312065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 159255268624 + 16283412043441 = 399068^2 + 4035271^2 .

It is a cyclic number.

It is not a de Polignac number, because 16442667312065 - 2²² = 16442663117761 is a prime.

It is a super-3 number, since 3×16442667312065³ (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 junction number, because it is equal to n+sod(n) for n = 16442667311998 and 16442667312016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107893304 + ... + 108045593.

It is an arithmetic number, because the mean of its divisors is an integer number (1253849211237).

Almost surely, 2^{16442667312065} is an apocalyptic number.

It is an amenable number.

16442667312065 is a deficient number, since it is larger than the sum of its proper divisors (3618920067727).

16442667312065 is a wasteful number, since it uses less digits than its factorization.

16442667312065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215939156.

The product of its (nonzero) digits is 8709120, while the sum is 53.

The spelling of 16442667312065 in words is "sixteen trillion, four hundred forty-two billion, six hundred sixty-seven million, three hundred twelve thousand, sixty-five".