809274600114480 has 60 divisors (see below), whose sum is σ = 2717813865386880. Its totient is φ = 215806560030336.

The previous prime is 809274600114389. The next prime is 809274600114499. The reversal of 809274600114480 is 84411006472908.

809274600114480 is a `hidden beast` number, since 8 + 0 + 9 + 2 + 7 + 46 + 0 + 0 + 114 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561996249360 + ... + 561996250799.

It is an arithmetic number, because the mean of its divisors is an integer number (45296897756448).

Almost surely, 2^{809274600114480} is an apocalyptic number.

809274600114480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

809274600114480 is an abundant number, since it is smaller than the sum of its proper divisors (1908539265272400).

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

809274600114480 is a wasteful number, since it uses less digits than its factorization.

809274600114480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123992500178 (or 1123992500169 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 809274600114480 in words is "eight hundred nine trillion, two hundred seventy-four billion, six hundred million, one hundred fourteen thousand, four hundred eighty".