1122813617641 has 9 divisors (see below), whose sum is σ = 1144455743109. Its totient is φ = 1101573354336.

The previous prime is 1122813617623. The next prime is 1122813617677. The reversal of 1122813617641 is 1467163182211.

The square root of 1122813617641 is 1059629.

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

It can be written as a sum of positive squares in 4 ways, for example, as 112105102041 + 1010708515600 = 334821^2 + 1005340^2 .

It is not a de Polignac number, because 1122813617641 - 2¹¹ = 1122813615593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1122813617941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56150341 + ... + 56170333.

Almost surely, 2^{1122813617641} is an apocalyptic number.

1122813617641 is the 1059629-th square number.

1122813617641 is the 529815-th centered octagonal number.

It is an amenable number.

1122813617641 is a deficient number, since it is larger than the sum of its proper divisors (21642125468).

1122813617641 is an frugal number, since it uses more digits than its factorization.

1122813617641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40092 (or 20046 counting only the distinct ones).

The product of its digits is 96768, while the sum is 43.

Adding to 1122813617641 its reverse (1467163182211), we get a palindrome (2589976799852).

The spelling of 1122813617641 in words is "one trillion, one hundred twenty-two billion, eight hundred thirteen million, six hundred seventeen thousand, six hundred forty-one".