10841182641 has 45 divisors (see below), whose sum is σ = 16963315369. Its totient is φ = 6899473944.

The previous prime is 10841182613. The next prime is 10841182679. The reversal of 10841182641 is 14628114801.

The square root of 10841182641 is 104121.

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

10841182641 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 1 + 1 + 8 + 2 + 641 = 666.

It is not a de Polignac number, because 10841182641 - 2⁵ = 10841182609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10841182596 and 10841182605.

It is not an unprimeable number, because it can be changed into a prime (10841182441) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21552796 + ... + 21553298.

Almost surely, 2^10841182641 is an apocalyptic number.

10841182641 is the 104121-st square number.

10841182641 is the 52061-st centered octagonal number.

It is an amenable number.

10841182641 is a deficient number, since it is larger than the sum of its proper divisors (6122132728).

10841182641 is an frugal number, since it uses more digits than its factorization.

10841182641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Multiplying 10841182641 by its sum of digits (36), we get a square (390282575076 = 624726²).

The spelling of 10841182641 in words is "ten billion, eight hundred forty-one million, one hundred eighty-two thousand, six hundred forty-one".