29142858906 has 192 divisors, whose sum is σ = 80702189568. Its totient is φ = 7404655104.

The previous prime is 29142858859. The next prime is 29142858907. The reversal of 29142858906 is 60985824192.

It is a happy number.

29142858906 is a `hidden beast` number, since 29 + 14 + 28 + 589 + 0 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (29142858907) 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 95 ways as a sum of consecutive naturals, for example, 4085515 + ... + 4092641.

It is an arithmetic number, because the mean of its divisors is an integer number (420323904).

Almost surely, 2^29142858906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29142858906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40351094784).

29142858906 is an abundant number, since it is smaller than the sum of its proper divisors (51559330662).

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

29142858906 is a wasteful number, since it uses less digits than its factorization.

29142858906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7265 (or 7262 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 29142858906 in words is "twenty-nine billion, one hundred forty-two million, eight hundred fifty-eight thousand, nine hundred six".