11146612064 has 48 divisors (see below), whose sum is σ = 25310023200. Its totient is φ = 4733282304.

The previous prime is 11146612051. The next prime is 11146612093. The reversal of 11146612064 is 46021664111.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11146612064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203849 + ... + 252680.

It is an arithmetic number, because the mean of its divisors is an integer number (527292150).

Almost surely, 2^11146612064 is an apocalyptic number.

11146612064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11146612064 is an abundant number, since it is smaller than the sum of its proper divisors (14163411136).

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

11146612064 is a wasteful number, since it uses less digits than its factorization.

11146612064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456655 (or 456647 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 11146612064 in words is "eleven billion, one hundred forty-six million, six hundred twelve thousand, sixty-four".