29034182144 has 80 divisors (see below), whose sum is σ = 64829506896. Its totient is φ = 12875366400.

The previous prime is 29034182143. The next prime is 29034182159. The reversal of 29034182144 is 44128143092.

It is a junction number, because it is equal to n+sod(n) for n = 29034182098 and 29034182107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29034182141) 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 7 ways as a sum of consecutive naturals, for example, 168044 + ... + 293780.

Almost surely, 2^29034182144 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 29034182144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32414753448).

29034182144 is an abundant number, since it is smaller than the sum of its proper divisors (35795324752).

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

29034182144 is a wasteful number, since it uses less digits than its factorization.

29034182144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125807 (or 125791 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 29034182144 in words is "twenty-nine billion, thirty-four million, one hundred eighty-two thousand, one hundred forty-four".