10009633452 has 96 divisors (see below), whose sum is σ = 28939008000. Its totient is φ = 2622143232.

The previous prime is 10009633423. The next prime is 10009633457. The reversal of 10009633452 is 25433690001.

10009633452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10009633457) 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 31 ways as a sum of consecutive naturals, for example, 131949 + ... + 193467.

It is an arithmetic number, because the mean of its divisors is an integer number (301448000).

Almost surely, 2^10009633452 is an apocalyptic number.

10009633452 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 10009633452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14469504000).

10009633452 is an abundant number, since it is smaller than the sum of its proper divisors (18929374548).

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

10009633452 is a wasteful number, since it uses less digits than its factorization.

10009633452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61695 (or 61693 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 10009633452 in words is "ten billion, nine million, six hundred thirty-three thousand, four hundred fifty-two".