11664568705440 has 288 divisors, whose sum is σ = 45256567696704. Its totient is φ = 2509352509440.

The previous prime is 11664568705421. The next prime is 11664568705441. The reversal of 11664568705440 is 4450786546611.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11664568705441) 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 47 ways as a sum of consecutive naturals, for example, 14186706 + ... + 14986385.

It is an arithmetic number, because the mean of its divisors is an integer number (157140860058).

Almost surely, 2^{11664568705440} is an apocalyptic number.

11664568705440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11664568705440 is an abundant number, since it is smaller than the sum of its proper divisors (33591998991264).

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

11664568705440 is a wasteful number, since it uses less digits than its factorization.

11664568705440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29173140 (or 29173125 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 11664568705440 in words is "eleven trillion, six hundred sixty-four billion, five hundred sixty-eight million, seven hundred five thousand, four hundred forty".