10244968312824 has 576 divisors, whose sum is σ = 34413064358400. Its totient is φ = 2735873280000.

The previous prime is 10244968312801. The next prime is 10244968312847. The reversal of 10244968312824 is 42821386944201.

10244968312824 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 496 + 8 + 3 + 128 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (10244968312801) and next prime (10244968312847).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6488262867 + ... + 6488264445.

It is an arithmetic number, because the mean of its divisors is an integer number (59744903400).

Almost surely, 2^{10244968312824} is an apocalyptic number.

10244968312824 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 10244968312824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17206532179200).

10244968312824 is an abundant number, since it is smaller than the sum of its proper divisors (24168096045576).

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

10244968312824 is a wasteful number, since it uses less digits than its factorization.

10244968312824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 10244968312824 in words is "ten trillion, two hundred forty-four billion, nine hundred sixty-eight million, three hundred twelve thousand, eight hundred twenty-four".