81761133116718 has 64 divisors (see below), whose sum is σ = 198214967462400. Its totient is φ = 24775330956480.

The previous prime is 81761133116717. The next prime is 81761133116771.

81761133116718 is a `hidden beast` number, since 8 + 1 + 7 + 611 + 3 + 3 + 1 + 1 + 6 + 7 + 18 = 666.

81761133116718 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×81761133116718² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81761133116717) 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, 17136618 + ... + 21381906.

It is an arithmetic number, because the mean of its divisors is an integer number (3097108866600).

Almost surely, 2^{81761133116718} is an apocalyptic number.

81761133116718 is an abundant number, since it is smaller than the sum of its proper divisors (116453834345682).

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

81761133116718 is a wasteful number, since it uses less digits than its factorization.

81761133116718 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4277734 (or 4277728 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 54.

The spelling of 81761133116718 in words is "eighty-one trillion, seven hundred sixty-one billion, one hundred thirty-three million, one hundred sixteen thousand, seven hundred eighteen".