10337305268224 has 117 divisors (see below), whose sum is σ = 22727187481971. Its totient is φ = 4697746268160.

The previous prime is 10337305268221. The next prime is 10337305268293. The reversal of 10337305268224 is 42286250373301.

It is a happy number.

The square root of 10337305268224 is 3215168.

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

It is a super-2 number, since 2×10337305268224² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10337305268221) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2263475989 + ... + 2263480555.

Almost surely, 2^{10337305268224} is an apocalyptic number.

10337305268224 is the 3215168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10337305268224

10337305268224 is an abundant number, since it is smaller than the sum of its proper divisors (12389882213747).

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

10337305268224 is an frugal number, since it uses more digits than its factorization.

10337305268224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9180 (or 4580 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 10337305268224 in words is "ten trillion, three hundred thirty-seven billion, three hundred five million, two hundred sixty-eight thousand, two hundred twenty-four".