11046303306064 has 120 divisors (see below), whose sum is σ = 23414269250232. Its totient is φ = 5045737881600.

The previous prime is 11046303306061. The next prime is 11046303306067. The reversal of 11046303306064 is 46060330364011.

It is an interprime number because it is at equal distance from previous prime (11046303306061) and next prime (11046303306067).

It can be written as a sum of positive squares in 12 ways, for example, as 3879481729600 + 7166821576464 = 1969640^2 + 2677092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11046303306061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 806469264 + ... + 806482960.

Almost surely, 2^{11046303306064} 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 11046303306064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11707134625116).

11046303306064 is an abundant number, since it is smaller than the sum of its proper divisors (12367965944168).

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

11046303306064 is a wasteful number, since it uses less digits than its factorization.

11046303306064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16785 (or 16766 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 11046303306064 in words is "eleven trillion, forty-six billion, three hundred three million, three hundred six thousand, sixty-four".