29282514014224 has 45 divisors (see below), whose sum is σ = 56834227463967. Its totient is φ = 14615661406752.

The previous prime is 29282514014189. The next prime is 29282514014231. The reversal of 29282514014224 is 42241041528292.

The square root of 29282514014224 is 5411332.

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

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 20931031477 + ... + 20931032875.

Almost surely, 2^{29282514014224} is an apocalyptic number.

29282514014224 is the 5411332-nd square number.

It is an amenable number.

29282514014224 is a deficient number, since it is larger than the sum of its proper divisors (27551713449743).

29282514014224 is an frugal number, since it uses more digits than its factorization.

29282514014224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 29282514014224 in words is "twenty-nine trillion, two hundred eighty-two billion, five hundred fourteen million, fourteen thousand, two hundred twenty-four".