29368144995072 has 864 divisors, whose sum is σ = 89246413267200. Its totient is φ = 8561000448000.

The previous prime is 29368144995067. The next prime is 29368144995089. The reversal of 29368144995072 is 27059944186392.

It is a junction number, because it is equal to n+sod(n) for n = 29368144994988 and 29368144995006.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27943048947 + ... + 27943049997.

It is an arithmetic number, because the mean of its divisors is an integer number (103294459800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅29368144995072 = 58736289990144, but 3⋅29368144995072 = 88104434985216 is not.

Almost surely, 2^{29368144995072} 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 29368144995072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44623206633600).

29368144995072 is an abundant number, since it is smaller than the sum of its proper divisors (59878268272128).

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

29368144995072 is a wasteful number, since it uses less digits than its factorization.

29368144995072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 69.

The spelling of 29368144995072 in words is "twenty-nine trillion, three hundred sixty-eight billion, one hundred forty-four million, nine hundred ninety-five thousand, seventy-two".