29338617403968 has 112 divisors (see below), whose sum is σ = 78334410134016. Its totient is φ = 9690225664000.

The previous prime is 29338617403967. The next prime is 29338617404021. The reversal of 29338617403968 is 86930471683392.

It is not an unprimeable number, because it can be changed into a prime (29338617403967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76460593 + ... + 76843343.

Almost surely, 2^{29338617403968} 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 29338617403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39167205067008).

29338617403968 is an abundant number, since it is smaller than the sum of its proper divisors (48995792730048).

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

29338617403968 is a wasteful number, since it uses less digits than its factorization.

29338617403968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386412 (or 386402 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 69.

The spelling of 29338617403968 in words is "twenty-nine trillion, three hundred thirty-eight billion, six hundred seventeen million, four hundred three thousand, nine hundred sixty-eight".