10989748224 has 675 divisors, whose sum is σ = 41356901817. Its totient is φ = 2898395136.

The previous prime is 10989748207. The next prime is 10989748229. The reversal of 10989748224 is 42284798901.

The square root of 10989748224 is 104832.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1625702400 + 9364045824 = 40320^2 + 96768^2 .

It is a super-2 number, since 2×10989748224² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10989748229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 845365242 + ... + 845365254.

Almost surely, 2^10989748224 is an apocalyptic number.

10989748224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10989748224 is the 104832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10989748224

10989748224 is an abundant number, since it is smaller than the sum of its proper divisors (30367153593).

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

10989748224 is an frugal number, since it uses more digits than its factorization.

10989748224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10989748224 in words is "ten billion, nine hundred eighty-nine million, seven hundred forty-eight thousand, two hundred twenty-four".