29819042848 has 384 divisors, whose sum is σ = 77107064832. Its totient is φ = 11059200000.

The previous prime is 29819042843. The next prime is 29819042867. The reversal of 29819042848 is 84824091892.

It is a super-2 number, since 2×29819042848² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29819042843) 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 63 ways as a sum of consecutive naturals, for example, 295237998 + ... + 295238098.

It is an arithmetic number, because the mean of its divisors is an integer number (200799648).

Almost surely, 2^29819042848 is an apocalyptic number.

29819042848 is a gapful number since it is divisible by the number (28) 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 29819042848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38553532416).

29819042848 is an abundant number, since it is smaller than the sum of its proper divisors (47288021984).

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

29819042848 is a wasteful number, since it uses less digits than its factorization.

29819042848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 55.

The spelling of 29819042848 in words is "twenty-nine billion, eight hundred nineteen million, forty-two thousand, eight hundred forty-eight".