10485244224 has 756 divisors, whose sum is σ = 40860882972. Its totient is φ = 2539192320.

The previous prime is 10485244201. The next prime is 10485244229. The reversal of 10485244224 is 42244258401.

10485244224 is a `hidden beast` number, since 104 + 8 + 524 + 4 + 2 + 24 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3457440000 + 7027804224 = 58800^2 + 83832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10485244229) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 255737644 + ... + 255737684.

It is an arithmetic number, because the mean of its divisors is an integer number (54048787).

Almost surely, 2^10485244224 is an apocalyptic number.

10485244224 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 10485244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20430441486).

10485244224 is an abundant number, since it is smaller than the sum of its proper divisors (30375638748).

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

10485244224 is a wasteful number, since it uses less digits than its factorization.

10485244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The spelling of 10485244224 in words is "ten billion, four hundred eighty-five million, two hundred forty-four thousand, two hundred twenty-four".