11451305653264 has 80 divisors (see below), whose sum is σ = 22320489241008. Its totient is φ = 5691303919616.

The previous prime is 11451305653093. The next prime is 11451305653273. The reversal of 11451305653264 is 46235650315411.

It can be written as a sum of positive squares in 8 ways, for example, as 7107449360400 + 4343856292864 = 2665980^2 + 2084192^2 .

It is a super-2 number, since 2×11451305653264² (a number of 27 digits) contains 22 as substring.

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, 3650398704 + ... + 3650401840.

Almost surely, 2^{11451305653264} is an apocalyptic number.

It is an amenable number.

11451305653264 is a deficient number, since it is larger than the sum of its proper divisors (10869183587744).

11451305653264 is a wasteful number, since it uses less digits than its factorization.

11451305653264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 46.

Adding to 11451305653264 its reverse (46235650315411), we get a palindrome (57686955968675).

The spelling of 11451305653264 in words is "eleven trillion, four hundred fifty-one billion, three hundred five million, six hundred fifty-three thousand, two hundred sixty-four".