814093348320 has 288 divisors, whose sum is σ = 3181055334912. Its totient is φ = 185721486336.

The previous prime is 814093348279. The next prime is 814093348331. The reversal of 814093348320 is 23843390418.

814093348320 is a `hidden beast` number, since 8 + 140 + 9 + 3 + 3 + 483 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 5194629 + ... + 5349051.

It is an arithmetic number, because the mean of its divisors is an integer number (11045331024).

Almost surely, 2^814093348320 is an apocalyptic number.

814093348320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814093348320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590527667456).

814093348320 is an abundant number, since it is smaller than the sum of its proper divisors (2366961986592).

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

814093348320 is a wasteful number, since it uses less digits than its factorization.

814093348320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154974 (or 154963 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 814093348320 in words is "eight hundred fourteen billion, ninety-three million, three hundred forty-eight thousand, three hundred twenty".