11545176065664 has 128 divisors (see below), whose sum is σ = 32038930874880. Its totient is φ = 3676617190400.

The previous prime is 11545176065663. The next prime is 11545176065677. The reversal of 11545176065664 is 46656067154511.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11545176065663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6513739 + ... + 8094389.

It is an arithmetic number, because the mean of its divisors is an integer number (250304147460).

Almost surely, 2^{11545176065664} 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 11545176065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16019465437440).

11545176065664 is an abundant number, since it is smaller than the sum of its proper divisors (20493754809216).

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

11545176065664 is a wasteful number, since it uses less digits than its factorization.

11545176065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581518 (or 1581506 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 57.

The spelling of 11545176065664 in words is "eleven trillion, five hundred forty-five billion, one hundred seventy-six million, sixty-five thousand, six hundred sixty-four".