11240145264 has 80 divisors (see below), whose sum is σ = 31344422400. Its totient is φ = 3460224768.

The previous prime is 11240145251. The next prime is 11240145337. The reversal of 11240145264 is 46254104211.

11240145264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143524 + ... + 207555.

It is an arithmetic number, because the mean of its divisors is an integer number (391805280).

Almost surely, 2^11240145264 is an apocalyptic number.

It is an amenable number.

11240145264 is an abundant number, since it is smaller than the sum of its proper divisors (20104277136).

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

11240145264 is a wasteful number, since it uses less digits than its factorization.

11240145264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351142 (or 351136 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 11240145264 its reverse (46254104211), we get a palindrome (57494249475).

The spelling of 11240145264 in words is "eleven billion, two hundred forty million, one hundred forty-five thousand, two hundred sixty-four".