456632705221 has 8 divisors (see below), whose sum is σ = 569308307904. Its totient is φ = 355817692320.

The previous prime is 456632705209. The next prime is 456632705251. The reversal of 456632705221 is 122507236654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456632705221 - 2⁵ = 456632705189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456632705251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2965147360 + ... + 2965147513.

It is an arithmetic number, because the mean of its divisors is an integer number (71163538488).

Almost surely, 2^456632705221 is an apocalyptic number.

It is an amenable number.

456632705221 is a deficient number, since it is larger than the sum of its proper divisors (112675602683).

456632705221 is a wasteful number, since it uses less digits than its factorization.

456632705221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5930294891.

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 456632705221 in words is "four hundred fifty-six billion, six hundred thirty-two million, seven hundred five thousand, two hundred twenty-one".