11429456272 has 40 divisors (see below), whose sum is σ = 23855332536. Its totient is φ = 5273511936.

The previous prime is 11429456267. The next prime is 11429456279. The reversal of 11429456272 is 27265492411.

11429456272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 470716416 + 10958739856 = 21696^2 + 104684^2 .

It is a super-3 number, since 3×11429456272³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11429456279) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 908328 + ... + 920824.

Almost surely, 2^11429456272 is an apocalyptic number.

It is an amenable number.

11429456272 is an abundant number, since it is smaller than the sum of its proper divisors (12425876264).

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

11429456272 is a wasteful number, since it uses less digits than its factorization.

11429456272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16915 (or 16909 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The spelling of 11429456272 in words is "eleven billion, four hundred twenty-nine million, four hundred fifty-six thousand, two hundred seventy-two".