8405679484801 has 16 divisors (see below), whose sum is σ = 8562061871440. Its totient is φ = 8249915473920.

The previous prime is 8405679484777. The next prime is 8405679484883. The reversal of 8405679484801 is 1084849765048.

It can be written as a sum of positive squares in 8 ways, for example, as 1535619118401 + 6870060366400 = 1239201^2 + 2621080^2 .

It is a cyclic number.

It is not a de Polignac number, because 8405679484801 - 2⁹ = 8405679484289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8405679482801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54008371 + ... + 54163783.

It is an arithmetic number, because the mean of its divisors is an integer number (535128866965).

Almost surely, 2^{8405679484801} is an apocalyptic number.

It is an amenable number.

8405679484801 is a deficient number, since it is larger than the sum of its proper divisors (156382386639).

8405679484801 is a wasteful number, since it uses less digits than its factorization.

8405679484801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157396.

The product of its (nonzero) digits is 61931520, while the sum is 64.

The spelling of 8405679484801 in words is "eight trillion, four hundred five billion, six hundred seventy-nine million, four hundred eighty-four thousand, eight hundred one".