11133126464 has 28 divisors (see below), whose sum is σ = 23391847044. Its totient is φ = 5239117824.

The previous prime is 11133126463. The next prime is 11133126467. The reversal of 11133126464 is 46462133111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4922425600 + 6210700864 = 70160^2 + 78808^2 .

It is a super-3 number, since 3×11133126464³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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 11133126464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133126461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5115239 + ... + 5117414.

Almost surely, 2^11133126464 is an apocalyptic number.

It is an amenable number.

11133126464 is an abundant number, since it is smaller than the sum of its proper divisors (12258720580).

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

11133126464 is a wasteful number, since it uses less digits than its factorization.

11133126464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10232682 (or 10232672 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

Adding to 11133126464 its reverse (46462133111), we get a palindrome (57595259575).

The spelling of 11133126464 in words is "eleven billion, one hundred thirty-three million, one hundred twenty-six thousand, four hundred sixty-four".