10466845704 has 768 divisors, whose sum is σ = 38873088000. Its totient is φ = 2586608640.

The previous prime is 10466845703. The next prime is 10466845717. The reversal of 10466845704 is 40754866401.

10466845704 is a `hidden beast` number, since 10 + 4 + 6 + 68 + 4 + 570 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10466845704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10466845703) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 143381412 + ... + 143381484.

It is an arithmetic number, because the mean of its divisors is an integer number (50616000).

Almost surely, 2^10466845704 is an apocalyptic number.

10466845704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10466845704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19436544000).

10466845704 is an abundant number, since it is smaller than the sum of its proper divisors (28406242296).

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

10466845704 is a wasteful number, since it uses less digits than its factorization.

10466845704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 10466845704 in words is "ten billion, four hundred sixty-six million, eight hundred forty-five thousand, seven hundred four".