29220813216 has 144 divisors (see below), whose sum is σ = 96035284800. Its totient is φ = 8254946304.

The previous prime is 29220813211. The next prime is 29220813227. The reversal of 29220813216 is 61231802292.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29220813211) 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 23 ways as a sum of consecutive naturals, for example, 97995 + ... + 260853.

It is an arithmetic number, because the mean of its divisors is an integer number (666911700).

Almost surely, 2^29220813216 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 29220813216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48017642400).

29220813216 is an abundant number, since it is smaller than the sum of its proper divisors (66814471584).

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

29220813216 is a wasteful number, since it uses less digits than its factorization.

29220813216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162971 (or 162960 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 29220813216 in words is "twenty-nine billion, two hundred twenty million, eight hundred thirteen thousand, two hundred sixteen".