11013344309064 has 256 divisors, whose sum is σ = 29160248832000. Its totient is φ = 3461106216960.

The previous prime is 11013344309057. The next prime is 11013344309111. The reversal of 11013344309064 is 46090344331011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4621628817 + ... + 4621631199.

It is an arithmetic number, because the mean of its divisors is an integer number (113907222000).

Almost surely, 2^{11013344309064} 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 11013344309064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14580124416000).

11013344309064 is an abundant number, since it is smaller than the sum of its proper divisors (18146904522936).

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

11013344309064 is a wasteful number, since it uses less digits than its factorization.

11013344309064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 11013344309064 in words is "eleven trillion, thirteen billion, three hundred forty-four million, three hundred nine thousand, sixty-four".