16712377321761 has 48 divisors (see below), whose sum is σ = 27255823425600. Its totient is φ = 10113342402240.

The previous prime is 16712377321663. The next prime is 16712377321789.

16712377321761 is a `hidden beast` number, since 1 + 6 + 71 + 2 + 377 + 32 + 176 + 1 = 666.

16712377321761 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16712377321761 - 2¹⁵ = 16712377288993 is a prime.

It is a super-2 number, since 2×16712377321761² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16712377321698 and 16712377321707.

It is not an unprimeable number, because it can be changed into a prime (16712377321261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1728316 + ... + 6034221.

It is an arithmetic number, because the mean of its divisors is an integer number (567829654700).

Almost surely, 2^{16712377321761} is an apocalyptic number.

16712377321761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16712377321761 is a deficient number, since it is larger than the sum of its proper divisors (10543446103839).

16712377321761 is a wasteful number, since it uses less digits than its factorization.

16712377321761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7763227 (or 7763210 counting only the distinct ones).

The product of its digits is 3111696, while the sum is 54.

It can be divided in two parts, 1671237 and 7321761, that added together give a palindrome (8992998).

The spelling of 16712377321761 in words is "sixteen trillion, seven hundred twelve billion, three hundred seventy-seven million, three hundred twenty-one thousand, seven hundred sixty-one".