11452129824 has 192 divisors, whose sum is σ = 32090929920. Its totient is φ = 3568435200.

The previous prime is 11452129817. The next prime is 11452129859. The reversal of 11452129824 is 42892125411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19847424 + ... + 19848000.

It is an arithmetic number, because the mean of its divisors is an integer number (167140260).

Almost surely, 2^11452129824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11452129824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045464960).

11452129824 is an abundant number, since it is smaller than the sum of its proper divisors (20638800096).

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

11452129824 is a wasteful number, since it uses less digits than its factorization.

11452129824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The spelling of 11452129824 in words is "eleven billion, four hundred fifty-two million, one hundred twenty-nine thousand, eight hundred twenty-four".