29914123848 has 256 divisors, whose sum is σ = 94954291200. Its totient is φ = 7655854080.

The previous prime is 29914123807. The next prime is 29914123907. The reversal of 29914123848 is 84832141992.

It is a Cunningham number, because it is equal to 172957²-1.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 29914123848.

It is an unprimeable number.

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, 5877961 + ... + 5883047.

It is an arithmetic number, because the mean of its divisors is an integer number (370915200).

Almost surely, 2^29914123848 is an apocalyptic number.

29914123848 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 29914123848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47477145600).

29914123848 is an abundant number, since it is smaller than the sum of its proper divisors (65040167352).

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

29914123848 is a wasteful number, since it uses less digits than its factorization.

29914123848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220 (or 5216 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The spelling of 29914123848 in words is "twenty-nine billion, nine hundred fourteen million, one hundred twenty-three thousand, eight hundred forty-eight".