10882285966561 has 9 divisors (see below), whose sum is σ = 11141393109651. Its totient is φ = 10629070997832.

The previous prime is 10882285966549. The next prime is 10882285966579. The reversal of 10882285966561 is 16566958228801.

The square root of 10882285966561 is 3298831.

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

10882285966561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8551033366225 + 2331252600336 = 2924215^2 + 1526844^2 .

It is not a de Polignac number, because 10882285966561 - 2¹⁷ = 10882285835489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10882285966511) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 141811375 + ... + 141888091.

It is an arithmetic number, because the mean of its divisors is an integer number (1237932567739).

Almost surely, 2^{10882285966561} is an apocalyptic number.

10882285966561 is the 3298831-st square number.

10882285966561 is the 1649416-th centered octagonal number.

It is an amenable number.

10882285966561 is a deficient number, since it is larger than the sum of its proper divisors (259107143090).

10882285966561 is an frugal number, since it uses more digits than its factorization.

10882285966561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153520 (or 76760 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 67.

The spelling of 10882285966561 in words is "ten trillion, eight hundred eighty-two billion, two hundred eighty-five million, nine hundred sixty-six thousand, five hundred sixty-one".