814106496 has 256 divisors, whose sum is σ = 2590963200. Its totient is φ = 221675520.

The previous prime is 814106479. The next prime is 814106521. The reversal of 814106496 is 694601418.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9147220 + ... + 9147308.

It is an arithmetic number, because the mean of its divisors is an integer number (10120950).

Almost surely, 2^814106496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295481600).

814106496 is an abundant number, since it is smaller than the sum of its proper divisors (1776856704).

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

814106496 is a wasteful number, since it uses less digits than its factorization.

814106496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 814106496 is about 28532.5515157688. The cubic root of 814106496 is about 933.7423857776.

The spelling of 814106496 in words is "eight hundred fourteen million, one hundred six thousand, four hundred ninety-six".