10648822339584 has 960 divisors, whose sum is σ = 37480399276320. Its totient is φ = 2969740247040.

The previous prime is 10648822339583. The next prime is 10648822339591. The reversal of 10648822339584 is 48593322884601.

10648822339584 is a `hidden beast` number, since 1 + 0 + 6 + 48 + 8 + 2 + 2 + 3 + 3 + 9 + 584 = 666.

It is a super-2 number, since 2×10648822339584² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10648822339583) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14067136134 + ... + 14067136890.

Almost surely, 2^{10648822339584} 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 10648822339584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18740199638160).

10648822339584 is an abundant number, since it is smaller than the sum of its proper divisors (26831576936736).

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

10648822339584 is a wasteful number, since it uses less digits than its factorization.

10648822339584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 10648822339584 in words is "ten trillion, six hundred forty-eight billion, eight hundred twenty-two million, three hundred thirty-nine thousand, five hundred eighty-four".