11006644435460 has 24 divisors (see below), whose sum is σ = 23114036799000. Its totient is φ = 4402641872384.

The previous prime is 11006644435459. The next prime is 11006644435471. The reversal of 11006644435460 is 6453444660011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 79335735556 + 10927308699904 = 281666^2 + 3305648^2 .

It is a super-2 number, since 2×11006644435460² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5821916 + ... + 7477164.

It is an arithmetic number, because the mean of its divisors is an integer number (963084866625).

Almost surely, 2^{11006644435460} is an apocalyptic number.

11006644435460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006644435460 is an abundant number, since it is smaller than the sum of its proper divisors (12107392363540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11006644435460 is a wasteful number, since it uses less digits than its factorization.

11006644435460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987735 (or 1987733 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 11006644435460 in words is "eleven trillion, six billion, six hundred forty-four million, four hundred thirty-five thousand, four hundred sixty".