10279513244224 has 105 divisors (see below), whose sum is σ = 23799637823667. Its totient is φ = 4404967039872.

The previous prime is 10279513244171. The next prime is 10279513244239. The reversal of 10279513244224 is 42244231597201.

It is a happy number.

The square root of 10279513244224 is 3206168.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1256813767 + ... + 1256821945.

Almost surely, 2^{10279513244224} is an apocalyptic number.

10279513244224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10279513244224 is the 3206168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10279513244224

10279513244224 is an abundant number, since it is smaller than the sum of its proper divisors (13520124579443).

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

10279513244224 is an frugal number, since it uses more digits than its factorization.

10279513244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16398 (or 8188 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 10279513244224 in words is "ten trillion, two hundred seventy-nine billion, five hundred thirteen million, two hundred forty-four thousand, two hundred twenty-four".