11577149796896 has 12 divisors (see below), whose sum is σ = 22792513662702. Its totient is φ = 5788574898432.

The previous prime is 11577149796887. The next prime is 11577149796991. The reversal of 11577149796896 is 69869794177511.

It can be written as a sum of positive squares in only one way, i.e., 8967748944400 + 2609400852496 = 2994620^2 + 1615364^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11577149796896.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 180892965545 + ... + 180892965608.

Almost surely, 2^{11577149796896} is an apocalyptic number.

11577149796896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11577149796896 is a deficient number, since it is larger than the sum of its proper divisors (11215363865806).

11577149796896 is an equidigital number, since it uses as much as digits as its factorization.

11577149796896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361785931163 (or 361785931155 counting only the distinct ones).

The product of its digits is 1440270720, while the sum is 80.

The spelling of 11577149796896 in words is "eleven trillion, five hundred seventy-seven billion, one hundred forty-nine million, seven hundred ninety-six thousand, eight hundred ninety-six".