81341214318 has 144 divisors (see below), whose sum is σ = 221426805600. Its totient is φ = 21390106752.

The previous prime is 81341214313. The next prime is 81341214323.

81341214318 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (81341214313) and next prime (81341214323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81341214313) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3991471 + ... + 4011797.

It is an arithmetic number, because the mean of its divisors is an integer number (1537686150).

Almost surely, 2^81341214318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81341214318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110713402800).

81341214318 is an abundant number, since it is smaller than the sum of its proper divisors (140085591282).

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

81341214318 is a wasteful number, since it uses less digits than its factorization.

81341214318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20711 (or 20701 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 81341214318 in words is "eighty-one billion, three hundred forty-one million, two hundred fourteen thousand, three hundred eighteen".