10244113264 has 240 divisors, whose sum is σ = 26818819200. Its totient is φ = 3737664000.

The previous prime is 10244113247. The next prime is 10244113273. The reversal of 10244113264 is 46231144201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16549147 + ... + 16549765.

It is an arithmetic number, because the mean of its divisors is an integer number (111745080).

Almost surely, 2^10244113264 is an apocalyptic number.

10244113264 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 10244113264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13409409600).

10244113264 is an abundant number, since it is smaller than the sum of its proper divisors (16574705936).

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

10244113264 is a wasteful number, since it uses less digits than its factorization.

10244113264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10244113264 its reverse (46231144201), we get a palindrome (56475257465).

The spelling of 10244113264 in words is "ten billion, two hundred forty-four million, one hundred thirteen thousand, two hundred sixty-four".