81514566541518 has 128 divisors (see below), whose sum is σ = 183884940288000. Its totient is φ = 23872278942720.

The previous prime is 81514566541511. The next prime is 81514566541619.

81514566541518 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81514566541511) 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 63 ways as a sum of consecutive naturals, for example, 1132126483 + ... + 1132198481.

It is an arithmetic number, because the mean of its divisors is an integer number (1436601096000).

Almost surely, 2^{81514566541518} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81514566541518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91942470144000).

81514566541518 is an abundant number, since it is smaller than the sum of its proper divisors (102370373746482).

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

81514566541518 is a wasteful number, since it uses less digits than its factorization.

81514566541518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75162.

The product of its digits is 23040000, while the sum is 60.

The spelling of 81514566541518 in words is "eighty-one trillion, five hundred fourteen billion, five hundred sixty-six million, five hundred forty-one thousand, five hundred eighteen".