10466216623664 has 160 divisors (see below), whose sum is σ = 21933504648000. Its totient is φ = 4820022853632.

The previous prime is 10466216623559. The next prime is 10466216623693. The reversal of 10466216623664 is 46632661266401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3892232432 + ... + 3892235120.

It is an arithmetic number, because the mean of its divisors is an integer number (137084404050).

Almost surely, 2^{10466216623664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10466216623664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10966752324000).

10466216623664 is an abundant number, since it is smaller than the sum of its proper divisors (11467288024336).

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

10466216623664 is a wasteful number, since it uses less digits than its factorization.

10466216623664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 53.

The spelling of 10466216623664 in words is "ten trillion, four hundred sixty-six billion, two hundred sixteen million, six hundred twenty-three thousand, six hundred sixty-four".