29430939648 has 256 divisors, whose sum is σ = 90708828480. Its totient is φ = 8388608000.

The previous prime is 29430939617. The next prime is 29430939721. The reversal of 29430939648 is 84693903492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18382048 + ... + 18383648.

Almost surely, 2^29430939648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29430939648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45354414240).

29430939648 is an abundant number, since it is smaller than the sum of its proper divisors (61277888832).

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

29430939648 is a wasteful number, since it uses less digits than its factorization.

29430939648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 29430939648 in words is "twenty-nine billion, four hundred thirty million, nine hundred thirty-nine thousand, six hundred forty-eight".