10682464707216 has 315 divisors, whose sum is σ = 31683756762777. Its totient is φ = 3487517804160.

The previous prime is 10682464707193. The next prime is 10682464707223. The reversal of 10682464707216 is 61270746428601.

The square root of 10682464707216 is 3268404.

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

10682464707216 is a `hidden beast` number, since 1 + 0 + 68 + 2 + 46 + 470 + 72 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7700958003600 + 2981506703616 = 2775060^2 + 1726704^2 .

It is a super-2 number, since 2×10682464707216² (a number of 27 digits) contains 22 as substring.

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

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 62 ways as a sum of consecutive naturals, for example, 18708344211 + ... + 18708344781.

Almost surely, 2^{10682464707216} is an apocalyptic number.

10682464707216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10682464707216 is the 3268404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10682464707216

10682464707216 is an abundant number, since it is smaller than the sum of its proper divisors (21001292055561).

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

10682464707216 is an frugal number, since it uses more digits than its factorization.

10682464707216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 10682464707216 in words is "ten trillion, six hundred eighty-two billion, four hundred sixty-four million, seven hundred seven thousand, two hundred sixteen".