16541466414561 has 32 divisors (see below), whose sum is σ = 27456215088000. Its totient is φ = 9754181663040.

The previous prime is 16541466414523. The next prime is 16541466414581.

It is a happy number.

16541466414561 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 1 + 4 + 6 + 64 + 14 + 561 = 666.

16541466414561 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16541466414561 - 2¹⁵ = 16541466381793 is a prime.

It is a super-2 number, since 2×16541466414561² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16541466414498 and 16541466414507.

It is not an unprimeable number, because it can be changed into a prime (16541466414511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752626486 + ... + 752648463.

It is an arithmetic number, because the mean of its divisors is an integer number (858006721500).

Almost surely, 2^{16541466414561} is an apocalyptic number.

16541466414561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16541466414561 is a deficient number, since it is larger than the sum of its proper divisors (10914748673439).

16541466414561 is a wasteful number, since it uses less digits than its factorization.

16541466414561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505275006 (or 1505275000 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 16541466414561 in words is "sixteen trillion, five hundred forty-one billion, four hundred sixty-six million, four hundred fourteen thousand, five hundred sixty-one".