10845633879441 has 63 divisors (see below), whose sum is σ = 16356624757977. Its totient is φ = 7188156746280.

The previous prime is 10845633879403. The next prime is 10845633879473. The reversal of 10845633879441 is 14497833654801.

The square root of 10845633879441 is 3293271.

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

10845633879441 is a `hidden beast` number, since 1 + 0 + 84 + 5 + 6 + 33 + 87 + 9 + 441 = 666.

It is not a de Polignac number, because 10845633879441 - 2⁹ = 10845633878929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10845633879491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 25163883496 + ... + 25163883926.

Almost surely, 2^{10845633879441} is an apocalyptic number.

10845633879441 is the 3293271-st square number.

10845633879441 is the 1646636-th centered octagonal number.

It is an amenable number.

10845633879441 is a deficient number, since it is larger than the sum of its proper divisors (5510990878536).

10845633879441 is an frugal number, since it uses more digits than its factorization.

10845633879441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 10845633879441 in words is "ten trillion, eight hundred forty-five billion, six hundred thirty-three million, eight hundred seventy-nine thousand, four hundred forty-one".