10685262644224 has 99 divisors (see below), whose sum is σ = 24849154982997. Its totient is φ = 4579084468224.

The previous prime is 10685262644207. The next prime is 10685262644233. The reversal of 10685262644224 is 42244626258601.

It is a happy number.

The square root of 10685262644224 is 3268832.

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., 895672960000 + 9789589684224 = 946400^2 + 3128832^2 .

It is a super-2 number, since 2×10685262644224² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 732211072 + ... + 732225664.

Almost surely, 2^{10685262644224} is an apocalyptic number.

10685262644224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10685262644224 is the 3268832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10685262644224

10685262644224 is an abundant number, since it is smaller than the sum of its proper divisors (14163892338773).

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

10685262644224 is an frugal number, since it uses more digits than its factorization.

10685262644224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29220 (or 14602 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 52.

The spelling of 10685262644224 in words is "ten trillion, six hundred eighty-five billion, two hundred sixty-two million, six hundred forty-four thousand, two hundred twenty-four".