29842048704 has 112 divisors (see below), whose sum is σ = 86300307968. Its totient is φ = 9045070848.

The previous prime is 29842048703. The next prime is 29842048711. The reversal of 29842048704 is 40784024892.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (29842048703) 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 15 ways as a sum of consecutive naturals, for example, 78009 + ... + 256455.

It is an arithmetic number, because the mean of its divisors is an integer number (770538464).

Almost surely, 2^29842048704 is an apocalyptic number.

29842048704 is a gapful number since it is divisible by the number (24) 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 29842048704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43150153984).

29842048704 is an abundant number, since it is smaller than the sum of its proper divisors (56458259264).

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

29842048704 is a wasteful number, since it uses less digits than its factorization.

29842048704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178542 (or 178532 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 29842048704 in words is "twenty-nine billion, eight hundred forty-two million, forty-eight thousand, seven hundred four".