29223160164044 has 216 divisors, whose sum is σ = 66968101880064. Its totient is φ = 11111296996800.

The previous prime is 29223160164043. The next prime is 29223160164091. The reversal of 29223160164044 is 44046106132292.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 29223160163986 and 29223160164004.

It is not an unprimeable number, because it can be changed into a prime (29223160164043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1247189009 + ... + 1247212439.

It is an arithmetic number, because the mean of its divisors is an integer number (310037508704).

Almost surely, 2^{29223160164044} 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 29223160164044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33484050940032).

29223160164044 is an abundant number, since it is smaller than the sum of its proper divisors (37744941716020).

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

29223160164044 is a wasteful number, since it uses less digits than its factorization.

29223160164044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24737 (or 24717 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 29223160164044 in words is "twenty-nine trillion, two hundred twenty-three billion, one hundred sixty million, one hundred sixty-four thousand, forty-four".