814114368 has 112 divisors (see below), whose sum is σ = 2451933120. Its totient is φ = 264729600.

The previous prime is 814114339. The next prime is 814114393. The reversal of 814114368 is 863411418.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65103 + ... + 76593.

It is an arithmetic number, because the mean of its divisors is an integer number (21892260).

Almost surely, 2^814114368 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 814114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225966560).

814114368 is an abundant number, since it is smaller than the sum of its proper divisors (1637818752).

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

814114368 is a wasteful number, since it uses less digits than its factorization.

814114368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11553 (or 11537 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 814114368 is about 28532.6894631403. The cubic root of 814114368 is about 933.7453953741.

The spelling of 814114368 in words is "eight hundred fourteen million, one hundred fourteen thousand, three hundred sixty-eight".