29821145344 has 81 divisors (see below), whose sum is σ = 61186081719. Its totient is φ = 14505792000.

The previous prime is 29821145339. The next prime is 29821145371. The reversal of 29821145344 is 44354112892.

The square root of 29821145344 is 172688.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 29821145344.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 118809219 + ... + 118809469.

Almost surely, 2^29821145344 is an apocalyptic number.

29821145344 is the 172688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29821145344

29821145344 is an abundant number, since it is smaller than the sum of its proper divisors (31364936375).

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

29821145344 is an frugal number, since it uses more digits than its factorization.

29821145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 296 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The spelling of 29821145344 in words is "twenty-nine billion, eight hundred twenty-one million, one hundred forty-five thousand, three hundred forty-four".