29198409984 has 144 divisors (see below), whose sum is σ = 86458256640. Its totient is φ = 9720023040.

The previous prime is 29198409973. The next prime is 29198410019. The reversal of 29198409984 is 48990489192.

It is a tau number, because it is divible by the number of its divisors (144).

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, 6294514 + ... + 6299150.

It is an arithmetic number, because the mean of its divisors is an integer number (600404560).

Almost surely, 2^29198409984 is an apocalyptic number.

29198409984 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 29198409984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43229128320).

29198409984 is an abundant number, since it is smaller than the sum of its proper divisors (57259846656).

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

29198409984 is an equidigital number, since it uses as much as digits as its factorization.

29198409984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5573 (or 5553 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 29198409984 in words is "twenty-nine billion, one hundred ninety-eight million, four hundred nine thousand, nine hundred eighty-four".