10964731722048 has 1344 divisors, whose sum is σ = 39146166259200. Its totient is φ = 2897569382400.

The previous prime is 10964731722013. The next prime is 10964731722067. The reversal of 10964731722048 is 84022713746901.

10964731722048 is a `hidden beast` number, since 1 + 0 + 9 + 64 + 7 + 317 + 220 + 48 = 666.

10964731722048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10964731721985 and 10964731722003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7556671723 + ... + 7556673173.

It is an arithmetic number, because the mean of its divisors is an integer number (29126611800).

Almost surely, 2^{10964731722048} is an apocalyptic number.

10964731722048 is a gapful number since it is divisible by the number (18) 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 10964731722048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19573083129600).

10964731722048 is an abundant number, since it is smaller than the sum of its proper divisors (28181434537152).

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

10964731722048 is a wasteful number, since it uses less digits than its factorization.

10964731722048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 10964731722048 in words is "ten trillion, nine hundred sixty-four billion, seven hundred thirty-one million, seven hundred twenty-two thousand, forty-eight".