29349349616016 has 120 divisors (see below), whose sum is σ = 82600514568000. Its totient is φ = 9728094475008.

The previous prime is 29349349615997. The next prime is 29349349616029. The reversal of 29349349616016 is 61061694394392.

29349349616016 is a `hidden beast` number, since 2 + 9 + 3 + 4 + 9 + 3 + 4 + 9 + 616 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×29349349616016² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20007610 + ... + 21424358.

It is an arithmetic number, because the mean of its divisors is an integer number (688337621400).

Almost surely, 2^{29349349616016} 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 29349349616016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41300257284000).

29349349616016 is an abundant number, since it is smaller than the sum of its proper divisors (53251164951984).

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

29349349616016 is a wasteful number, since it uses less digits than its factorization.

29349349616016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417573 (or 1417564 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 29349349616016 in words is "twenty-nine trillion, three hundred forty-nine billion, three hundred forty-nine million, six hundred sixteen thousand, sixteen".