29049008128 has 208 divisors, whose sum is σ = 71520404544. Its totient is φ = 11513364480.

The previous prime is 29049008101. The next prime is 29049008143. The reversal of 29049008128 is 82180094092.

It is a super-2 number, since 2×29049008128² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29732376 + ... + 29733352.

Almost surely, 2^29049008128 is an apocalyptic number.

29049008128 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 29049008128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35760202272).

29049008128 is an abundant number, since it is smaller than the sum of its proper divisors (42471396416).

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

29049008128 is an equidigital number, since it uses as much as digits as its factorization.

29049008128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The spelling of 29049008128 in words is "twenty-nine billion, forty-nine million, eight thousand, one hundred twenty-eight".