814109344 has 48 divisors (see below), whose sum is σ = 1676845800. Its totient is φ = 388562944.

The previous prime is 814109341. The next prime is 814109353. The reversal of 814109344 is 443901418.

It can be written as a sum of positive squares in 4 ways, for example, as 544755600 + 269353744 = 23340^2 + 16412^2 .

It is a super-2 number, since 2×814109344² = 1325548047976220672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (814109341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77664 + ... + 87520.

Almost surely, 2^814109344 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 814109344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838422900).

814109344 is an abundant number, since it is smaller than the sum of its proper divisors (862736456).

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

814109344 is a wasteful number, since it uses less digits than its factorization.

814109344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9985 (or 9977 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 814109344 is about 28532.6014236347. The cubic root of 814109344 is about 933.7434746176.

The spelling of 814109344 in words is "eight hundred fourteen million, one hundred nine thousand, three hundred forty-four".