16564001261337 has 12 divisors (see below), whose sum is σ = 24482193079344. Its totient is φ = 10785861286200.

The previous prime is 16564001261329. The next prime is 16564001261399. The reversal of 16564001261337 is 73316210046561.

16564001261337 is a `hidden beast` number, since 1 + 6 + 56 + 4 + 0 + 0 + 1 + 261 + 337 = 666.

It is not a de Polignac number, because 16564001261337 - 2³ = 16564001261329 is a prime.

It is a super-2 number, since 2×16564001261337² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16564001261292 and 16564001261301.

It is not an unprimeable number, because it can be changed into a prime (16564001261317) 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, 21400518039 + ... + 21400518812.

It is an arithmetic number, because the mean of its divisors is an integer number (2040182756612).

Almost surely, 2^{16564001261337} is an apocalyptic number.

It is an amenable number.

16564001261337 is a deficient number, since it is larger than the sum of its proper divisors (7918191818007).

16564001261337 is a wasteful number, since it uses less digits than its factorization.

16564001261337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42801036900 (or 42801036897 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 16564001261337 in words is "sixteen trillion, five hundred sixty-four billion, one million, two hundred sixty-one thousand, three hundred thirty-seven".