29818932048 has 120 divisors (see below), whose sum is σ = 85656199200. Its totient is φ = 9678493440.

The previous prime is 29818932043. The next prime is 29818932079. The reversal of 29818932048 is 84023981892.

It is a junction number, because it is equal to n+sod(n) for n = 29818931985 and 29818932003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29818932043) 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 23 ways as a sum of consecutive naturals, for example, 2042278 + ... + 2056826.

It is an arithmetic number, because the mean of its divisors is an integer number (713801660).

Almost surely, 2^29818932048 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 29818932048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42828099600).

29818932048 is an abundant number, since it is smaller than the sum of its proper divisors (55837267152).

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

29818932048 is a wasteful number, since it uses less digits than its factorization.

29818932048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14937 (or 14928 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 29818932048 in words is "twenty-nine billion, eight hundred eighteen million, nine hundred thirty-two thousand, forty-eight".