814311216 has 30 divisors (see below), whose sum is σ = 2278940820. Its totient is φ = 271437024.

The previous prime is 814311191. The next prime is 814311221. The reversal of 814311216 is 612113418.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 814311216.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2827326 + ... + 2827613.

It is an arithmetic number, because the mean of its divisors is an integer number (75964694).

Almost surely, 2^814311216 is an apocalyptic number.

It is an amenable number.

814311216 is an abundant number, since it is smaller than the sum of its proper divisors (1464629604).

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

814311216 is a wasteful number, since it uses less digits than its factorization.

814311216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5654953 (or 5654944 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 814311216 is about 28536.1387717399. The cubic root of 814311216 is about 933.8206473323.

The spelling of 814311216 in words is "eight hundred fourteen million, three hundred eleven thousand, two hundred sixteen".