10835315223616 has 189 divisors, whose sum is σ = 24081365717919. Its totient is φ = 4834854835200.

The previous prime is 10835315223553. The next prime is 10835315223619. The reversal of 10835315223616 is 61632251353801.

The square root of 10835315223616 is 3291704.

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

It can be written as a sum of positive squares in 4 ways, for example, as 996403240000 + 9838911983616 = 998200^2 + 3136704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10835315223619) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10612453186 + ... + 10612454206.

Almost surely, 2^{10835315223616} is an apocalyptic number.

10835315223616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10835315223616 is the 3291704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10835315223616

10835315223616 is an abundant number, since it is smaller than the sum of its proper divisors (13246050494303).

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

10835315223616 is an frugal number, since it uses more digits than its factorization.

10835315223616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 10835315223616 in words is "ten trillion, eight hundred thirty-five billion, three hundred fifteen million, two hundred twenty-three thousand, six hundred sixteen".