428584169864961 has 48 divisors (see below), whose sum is σ = 688116524097600. Its totient is φ = 254836180959360.

The previous prime is 428584169864959. The next prime is 428584169864969. The reversal of 428584169864961 is 169468961485824.

428584169864961 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 8 + 41 + 6 + 9 + 86 + 496 + 1 = 666.

It is not a de Polignac number, because 428584169864961 - 2¹ = 428584169864959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (428584169864969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121827310 + ... + 125295896.

It is an arithmetic number, because the mean of its divisors is an integer number (14335760918700).

Almost surely, 2^{428584169864961} is an apocalyptic number.

It is an amenable number.

428584169864961 is a deficient number, since it is larger than the sum of its proper divisors (259532354232639).

428584169864961 is a wasteful number, since it uses less digits than its factorization.

428584169864961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492206 (or 3492203 counting only the distinct ones).

The product of its digits is 5733089280, while the sum is 81.

The spelling of 428584169864961 in words is "four hundred twenty-eight trillion, five hundred eighty-four billion, one hundred sixty-nine million, eight hundred sixty-four thousand, nine hundred sixty-one".