456520610004006 has 16 divisors (see below), whose sum is σ = 913041458895024. Its totient is φ = 152173496853504.

The previous prime is 456520610003993. The next prime is 456520610004023. The reversal of 456520610004006 is 600400016025654.

It is a super-2 number, since 2×456520610004006² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23580246 + ... + 38328438.

It is an arithmetic number, because the mean of its divisors is an integer number (57065091180939).

Almost surely, 2^{456520610004006} is an apocalyptic number.

456520610004006 is an abundant number, since it is smaller than the sum of its proper divisors (456520848891018).

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

456520610004006 is a wasteful number, since it uses less digits than its factorization.

456520610004006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19907255.

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 456520610004006 in words is "four hundred fifty-six trillion, five hundred twenty billion, six hundred ten million, four thousand, six".