16546233264561 has 128 divisors (see below), whose sum is σ = 33584162304000. Its totient is φ = 7934257074240.

The previous prime is 16546233264551. The next prime is 16546233264611.

16546233264561 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 623 + 3 + 2 + 6 + 4 + 5 + 6 + 1 = 666.

16546233264561 is nontrivially palindromic in base 10.

16546233264561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16546233264561 - 2¹¹ = 16546233262513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16546233264498 and 16546233264507.

It is not an unprimeable number, because it can be changed into a prime (16546233264551) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4922731 + ... + 7571376.

It is an arithmetic number, because the mean of its divisors is an integer number (262376268000).

Almost surely, 2^{16546233264561} is an apocalyptic number.

16546233264561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16546233264561 is an abundant number, since it is smaller than the sum of its proper divisors (17037929039439).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16546233264561 is a wasteful number, since it uses less digits than its factorization.

16546233264561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12494161 (or 12494141 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 16546233264561 in words is "sixteen trillion, five hundred forty-six billion, two hundred thirty-three million, two hundred sixty-four thousand, five hundred sixty-one".