11429569152 has 192 divisors, whose sum is σ = 34228303200. Its totient is φ = 3796429824.

The previous prime is 11429569133. The next prime is 11429569163. The reversal of 11429569152 is 25196592411.

11429569152 is a `hidden beast` number, since 1 + 14 + 29 + 569 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×11429569152⁴ (a number of 41 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11429569098 and 11429569107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13032138 + ... + 13033014.

Almost surely, 2^11429569152 is an apocalyptic number.

11429569152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11429569152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17114151600).

11429569152 is an abundant number, since it is smaller than the sum of its proper divisors (22798734048).

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

11429569152 is an frugal number, since it uses more digits than its factorization.

11429569152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1301 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The spelling of 11429569152 in words is "eleven billion, four hundred twenty-nine million, five hundred sixty-nine thousand, one hundred fifty-two".