29971649808 has 200 divisors, whose sum is σ = 92765680920. Its totient is φ = 9309081600.

The previous prime is 29971649801. The next prime is 29971649837. The reversal of 29971649808 is 80894617992.

It can be written as a sum of positive squares in 4 ways, for example, as 18439467264 + 11532182544 = 135792^2 + 107388^2 .

It is not an unprimeable number, because it can be changed into a prime (29971649801) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2218498 + ... + 2231966.

Almost surely, 2^29971649808 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 29971649808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46382840460).

29971649808 is an abundant number, since it is smaller than the sum of its proper divisors (62794031112).

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

29971649808 is a wasteful number, since it uses less digits than its factorization.

29971649808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13607 (or 13592 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 29971649808 in words is "twenty-nine billion, nine hundred seventy-one million, six hundred forty-nine thousand, eight hundred eight".