16564123717461 has 12 divisors (see below), whose sum is σ = 24697761528960. Its totient is φ = 10686531430440.

The previous prime is 16564123717457. The next prime is 16564123717501. The reversal of 16564123717461 is 16471732146561.

It is a happy number.

16564123717461 is a `hidden beast` number, since 1 + 6 + 56 + 4 + 123 + 7 + 1 + 7 + 461 = 666.

It is not a de Polignac number, because 16564123717461 - 2² = 16564123717457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16564123717398 and 16564123717407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16564123717411) 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 11 ways as a sum of consecutive naturals, for example, 29684809251 + ... + 29684809808.

It is an arithmetic number, because the mean of its divisors is an integer number (2058146794080).

Almost surely, 2^{16564123717461} is an apocalyptic number.

It is an amenable number.

16564123717461 is a deficient number, since it is larger than the sum of its proper divisors (8133637811499).

16564123717461 is a wasteful number, since it uses less digits than its factorization.

16564123717461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59369619096 (or 59369619093 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 16564123717461 in words is "sixteen trillion, five hundred sixty-four billion, one hundred twenty-three million, seven hundred seventeen thousand, four hundred sixty-one".