11001336680464 has 40 divisors (see below), whose sum is σ = 24304989303000. Its totient is φ = 4778861180928.

The previous prime is 11001336680407. The next prime is 11001336680557. The reversal of 11001336680464 is 46408663310011.

It can be written as a sum of positive squares in 4 ways, for example, as 1794238818064 + 9207097862400 = 1339492^2 + 3034320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11001336680464.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1555615339 + ... + 1555622410.

It is an arithmetic number, because the mean of its divisors is an integer number (607624732575).

Almost surely, 2^{11001336680464} is an apocalyptic number.

It is an amenable number.

11001336680464 is an abundant number, since it is smaller than the sum of its proper divisors (13303652622536).

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

11001336680464 is a wasteful number, since it uses less digits than its factorization.

11001336680464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111237787 (or 3111237781 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

Adding to 11001336680464 its reverse (46408663310011), we get a palindrome (57409999990475).

The spelling of 11001336680464 in words is "eleven trillion, one billion, three hundred thirty-six million, six hundred eighty thousand, four hundred sixty-four".