29338558914064 has 15 divisors (see below), whose sum is σ = 56843499873967. Its totient is φ = 14669268624016.

The previous prime is 29338558914037. The next prime is 29338558914073. The reversal of 29338558914064 is 46041985583392.

The square root of 29338558914064 is 5416508.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 20988969 + ... + 22343095.

Almost surely, 2^{29338558914064} is an apocalyptic number.

29338558914064 is the 5416508-th square number.

It is an amenable number.

29338558914064 is a deficient number, since it is larger than the sum of its proper divisors (27504940959903).

29338558914064 is an frugal number, since it uses more digits than its factorization.

29338558914064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708262 (or 1354129 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 67.

The spelling of 29338558914064 in words is "twenty-nine trillion, three hundred thirty-eight billion, five hundred fifty-eight million, nine hundred fourteen thousand, sixty-four".