814542080814 has 288 divisors, whose sum is σ = 2297558495232. Its totient is φ = 203934931200.

The previous prime is 814542080797. The next prime is 814542080851. The reversal of 814542080814 is 418080245418.

814542080814 is a `hidden beast` number, since 8 + 14 + 542 + 0 + 80 + 8 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 814542080814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124297362 + ... + 124303914.

It is an arithmetic number, because the mean of its divisors is an integer number (7977633664).

Almost surely, 2^814542080814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814542080814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148779247616).

814542080814 is an abundant number, since it is smaller than the sum of its proper divisors (1483016414418).

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

814542080814 is a wasteful number, since it uses less digits than its factorization.

814542080814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6884 (or 6870 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 814542080814 in words is "eight hundred fourteen billion, five hundred forty-two million, eighty thousand, eight hundred fourteen".