814347743418 has 128 divisors (see below), whose sum is σ = 1996290800640. Its totient is φ = 244016256960.

The previous prime is 814347743387. The next prime is 814347743437.

It is a happy number.

814347743418 is a `hidden beast` number, since 8 + 143 + 47 + 7 + 43 + 418 = 666.

814347743418 is nontrivially palindromic in base 10.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35390305 + ... + 35413307.

It is an arithmetic number, because the mean of its divisors is an integer number (15596021880).

Almost surely, 2^814347743418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814347743418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998145400320).

814347743418 is an abundant number, since it is smaller than the sum of its proper divisors (1181943057222).

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

814347743418 is a wasteful number, since it uses less digits than its factorization.

814347743418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23689 (or 23683 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 814347743418 in words is "eight hundred fourteen billion, three hundred forty-seven million, seven hundred forty-three thousand, four hundred eighteen".