10968582361 has 9 divisors (see below), whose sum is σ = 12057642079. Its totient is φ = 9970391200.

The previous prime is 10968582343. The next prime is 10968582379. The reversal of 10968582361 is 16328586901.

The square root of 10968582361 is 104731.

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

10968582361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10968582343) and next prime (10968582379).

It can be written as a sum of positive squares in only one way, i.e., 4834559961 + 6134022400 = 69531^2 + 78320^2 .

It is not a de Polignac number, because 10968582361 - 2⁵ = 10968582329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10968582311) 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, 1147281 + ... + 1156801.

Almost surely, 2^10968582361 is an apocalyptic number.

10968582361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10968582361 is the 104731-st square number.

10968582361 is the 52366-th centered octagonal number.

It is an amenable number.

10968582361 is a deficient number, since it is larger than the sum of its proper divisors (1089059718).

10968582361 is an frugal number, since it uses more digits than its factorization.

10968582361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19064 (or 9532 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

Multiplying 10968582361 by its sum of digits (49), we get a square (537460535689 = 733117²).

The spelling of 10968582361 in words is "ten billion, nine hundred sixty-eight million, five hundred eighty-two thousand, three hundred sixty-one".