9945466624 has 72 divisors (see below), whose sum is σ = 20724197760. Its totient is φ = 4757913600.

The previous prime is 9945466577. The next prime is 9945466693. The reversal of 9945466624 is 4266645499.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 699264 + ... + 713344.

It is an arithmetic number, because the mean of its divisors is an integer number (287836080).

Almost surely, 2^9945466624 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 9945466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10362098880).

9945466624 is an abundant number, since it is smaller than the sum of its proper divisors (10778731136).

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

9945466624 is a wasteful number, since it uses less digits than its factorization.

9945466624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14217 (or 14203 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 55.

The square root of 9945466624 is about 99726.9603667935. The cubic root of 9945466624 is about 2150.5112628738.

The spelling of 9945466624 in words is "nine billion, nine hundred forty-five million, four hundred sixty-six thousand, six hundred twenty-four".