22929426432 has 576 divisors, whose sum is σ = 78427440000. Its totient is φ = 6601605120.

The previous prime is 22929426419. The next prime is 22929426437. The reversal of 22929426432 is 23462492922.

22929426432 is a `hidden beast` number, since 22 + 92 + 94 + 26 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22929426437) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 153888694 + ... + 153888842.

It is an arithmetic number, because the mean of its divisors is an integer number (136158750).

Almost surely, 2^22929426432 is an apocalyptic number.

22929426432 is a gapful number since it is divisible by the number (22) 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 22929426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39213720000).

22929426432 is an abundant number, since it is smaller than the sum of its proper divisors (55498013568).

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

22929426432 is a wasteful number, since it uses less digits than its factorization.

22929426432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 188 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 22929426432 in words is "twenty-two billion, nine hundred twenty-nine million, four hundred twenty-six thousand, four hundred thirty-two".