16541961286761 has 15 divisors (see below), whose sum is σ = 24710885739111. Its totient is φ = 11027949788088.

The previous prime is 16541961286729. The next prime is 16541961286813. The reversal of 16541961286761 is 16768216914561.

The square root of 16541961286761 is 4067181.

It is a perfect power (a square), and thus also a powerful number.

16541961286761 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 1 + 9 + 612 + 8 + 6 + 7 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8391050486361 + 8150910800400 = 2896731^2 + 2854980^2 .

It is not a de Polignac number, because 16541961286761 - 2⁵ = 16541961286729 is a prime.

It is a super-2 number, since 2×16541961286761² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16541961286061) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 36378675 + ... + 36830583.

Almost surely, 2^{16541961286761} is an apocalyptic number.

16541961286761 is the 4067181-st square number.

16541961286761 is the 2033591-st centered octagonal number.

It is an amenable number.

16541961286761 is a deficient number, since it is larger than the sum of its proper divisors (8168924452350).

16541961286761 is an frugal number, since it uses more digits than its factorization.

16541961286761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903830 (or 451912 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 16541961286761 in words is "sixteen trillion, five hundred forty-one billion, nine hundred sixty-one million, two hundred eighty-six thousand, seven hundred sixty-one".