10636345118281 has 9 divisors (see below), whose sum is σ = 10649919805941. Its totient is φ = 10622787723744.

The previous prime is 10636345118261. The next prime is 10636345118327. The reversal of 10636345118281 is 18281154363601.

The square root of 10636345118281 is 3261341.

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

10636345118281 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 4 ways, for example, as 164260794681 + 10472084323600 = 405291^2 + 3236060^2 .

It is not a de Polignac number, because 10636345118281 - 2³¹ = 10634197634633 is a prime.

It is a super-2 number, since 2×10636345118281² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10636345118261) 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, 3421145155 + ... + 3421148263.

Almost surely, 2^{10636345118281} is an apocalyptic number.

10636345118281 is the 3261341-st square number.

10636345118281 is the 1630671-st centered octagonal number.

It is an amenable number.

10636345118281 is a deficient number, since it is larger than the sum of its proper divisors (13574687660).

10636345118281 is an frugal number, since it uses more digits than its factorization.

10636345118281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8316 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

Multiplying 10636345118281 by its sum of digits (49), we get a square (521180910795769 = 22829387²).

The spelling of 10636345118281 in words is "ten trillion, six hundred thirty-six billion, three hundred forty-five million, one hundred eighteen thousand, two hundred eighty-one".