10964433216 has 168 divisors, whose sum is σ = 32781569184. Its totient is φ = 3207464960.

The previous prime is 10964433191. The next prime is 10964433223. The reversal of 10964433216 is 61233446901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1773106 + ... + 1779278.

It is an arithmetic number, because the mean of its divisors is an integer number (195128388).

Almost surely, 2^10964433216 is an apocalyptic number.

10964433216 is a gapful number since it is divisible by the number (16) 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 10964433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16390784592).

10964433216 is an abundant number, since it is smaller than the sum of its proper divisors (21817135968).

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

10964433216 is a wasteful number, since it uses less digits than its factorization.

10964433216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6257 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 10964433216 in words is "ten billion, nine hundred sixty-four million, four hundred thirty-three thousand, two hundred sixteen".