11564453068704 has 288 divisors, whose sum is σ = 34787625320448. Its totient is φ = 3638186496000.

The previous prime is 11564453068699. The next prime is 11564453068733. The reversal of 11564453068704 is 40786035446511.

11564453068704 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 44 + 530 + 68 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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, 2014359274 + ... + 2014365014.

It is an arithmetic number, because the mean of its divisors is an integer number (120790365696).

Almost surely, 2^{11564453068704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11564453068704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17393812660224).

11564453068704 is an abundant number, since it is smaller than the sum of its proper divisors (23223172251744).

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

11564453068704 is a wasteful number, since it uses less digits than its factorization.

11564453068704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11332 (or 11321 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 11564453068704 in words is "eleven trillion, five hundred sixty-four billion, four hundred fifty-three million, sixty-eight thousand, seven hundred four".