22349632032 has 288 divisors, whose sum is σ = 80749992960. Its totient is φ = 5704058880.

The previous prime is 22349632031. The next prime is 22349632061. The reversal of 22349632032 is 23023694322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22349632031) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 798694 + ... + 826202.

It is an arithmetic number, because the mean of its divisors is an integer number (280381920).

Almost surely, 2^22349632032 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 22349632032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40374996480).

22349632032 is an abundant number, since it is smaller than the sum of its proper divisors (58400360928).

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

22349632032 is a wasteful number, since it uses less digits than its factorization.

22349632032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27576 (or 27565 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 22349632032 in words is "twenty-two billion, three hundred forty-nine million, six hundred thirty-two thousand, thirty-two".