10484308224 has 720 divisors, whose sum is σ = 37395388800. Its totient is φ = 2890432512.

The previous prime is 10484308183. The next prime is 10484308249. The reversal of 10484308224 is 42280348401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117801172 + ... + 117801260.

It is an arithmetic number, because the mean of its divisors is an integer number (51938040).

Almost surely, 2^10484308224 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 10484308224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18697694400).

10484308224 is an abundant number, since it is smaller than the sum of its proper divisors (26911080576).

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

10484308224 is a wasteful number, since it uses less digits than its factorization.

10484308224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 10484308224 in words is "ten billion, four hundred eighty-four million, three hundred eight thousand, two hundred twenty-four".