29348014080 has 768 divisors, whose sum is σ = 123408230400. Its totient is φ = 5768478720.

The previous prime is 29348014079. The next prime is 29348014117. The reversal of 29348014080 is 8041084392.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×29348014080² (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 63 ways as a sum of consecutive naturals, for example, 44943034 + ... + 44943686.

It is an arithmetic number, because the mean of its divisors is an integer number (160687800).

Almost surely, 2^29348014080 is an apocalyptic number.

29348014080 is a gapful number since it is divisible by the number (20) 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 29348014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61704115200).

29348014080 is an abundant number, since it is smaller than the sum of its proper divisors (94060216320).

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

29348014080 is a wasteful number, since it uses less digits than its factorization.

29348014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 29348014080 in words is "twenty-nine billion, three hundred forty-eight million, fourteen thousand, eighty".