29329286585104 has 45 divisors (see below), whose sum is σ = 62461586292679. Its totient is φ = 13331385589280.

The previous prime is 29329286585017. The next prime is 29329286585111. The reversal of 29329286585104 is 40158568292392.

The square root of 29329286585104 is 5415652.

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

It is a super-2 number, since 2×29329286585104² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

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, 238227147 + ... + 238350229.

Almost surely, 2^{29329286585104} is an apocalyptic number.

29329286585104 is the 5415652-nd square number.

It is an amenable number.

29329286585104 is an abundant number, since it is smaller than the sum of its proper divisors (33132299707575).

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

29329286585104 is an frugal number, since it uses more digits than its factorization.

29329286585104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246196 (or 123096 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 64.

The spelling of 29329286585104 in words is "twenty-nine trillion, three hundred twenty-nine billion, two hundred eighty-six million, five hundred eighty-five thousand, one hundred four".