29223014720 has 112 divisors (see below), whose sum is σ = 70770445200. Its totient is φ = 11491983360.

The previous prime is 29223014719. The next prime is 29223014729. The reversal of 29223014720 is 2741032292.

It can be written as a sum of positive squares in 8 ways, for example, as 12511764736 + 16711249984 = 111856^2 + 129272^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29223014729) 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 15 ways as a sum of consecutive naturals, for example, 5152046 + ... + 5157714.

It is an arithmetic number, because the mean of its divisors is an integer number (631878975).

Almost surely, 2^29223014720 is an apocalyptic number.

29223014720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29223014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35385222600).

29223014720 is an abundant number, since it is smaller than the sum of its proper divisors (41547430480).

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

29223014720 is a wasteful number, since it uses less digits than its factorization.

29223014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 29223014720 in words is "twenty-nine billion, two hundred twenty-three million, fourteen thousand, seven hundred twenty".