11311145300664 has 96 divisors (see below), whose sum is σ = 34657044589440. Its totient is φ = 3427619781600.

The previous prime is 11311145300621. The next prime is 11311145300699. The reversal of 11311145300664 is 46600354111311.

11311145300664 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 114 + 530 + 0 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 in 23 ways as a sum of consecutive naturals, for example, 264455452 + ... + 264498219.

It is an arithmetic number, because the mean of its divisors is an integer number (361010881140).

Almost surely, 2^{11311145300664} is an apocalyptic number.

It is an amenable number.

11311145300664 is an abundant number, since it is smaller than the sum of its proper divisors (23345899288776).

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

11311145300664 is a wasteful number, since it uses less digits than its factorization.

11311145300664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528953703 (or 528953687 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 11311145300664 its reverse (46600354111311), we get a palindrome (57911499411975).

The spelling of 11311145300664 in words is "eleven trillion, three hundred eleven billion, one hundred forty-five million, three hundred thousand, six hundred sixty-four".