814868418 has 96 divisors (see below), whose sum is σ = 2073955968. Its totient is φ = 207843840.

The previous prime is 814868347. The next prime is 814868441.

It is a happy number.

814868418 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523930 + ... + 525482.

It is an arithmetic number, because the mean of its divisors is an integer number (21603708).

Almost surely, 2^814868418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814868418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036977984).

814868418 is an abundant number, since it is smaller than the sum of its proper divisors (1259087550).

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

814868418 is a wasteful number, since it uses less digits than its factorization.

814868418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1609 counting only the distinct ones).

The product of its digits is 393216, while the sum is 48.

The square root of 814868418 is about 28545.9001960001. The cubic root of 814868418 is about 934.0335913466.

The spelling of 814868418 in words is "eight hundred fourteen million, eight hundred sixty-eight thousand, four hundred eighteen".