29485605904225 has 81 divisors (see below), whose sum is σ = 37831464596793. Its totient is φ = 22796889847680.

The previous prime is 29485605904169. The next prime is 29485605904241. The reversal of 29485605904225 is 52240950658492.

The square root of 29485605904225 is 5430065.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5806832409169 + 23678773495056 = 2409737^2 + 4866084^2 .

It is not a de Polignac number, because 29485605904225 - 2¹⁵ = 29485605871457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 126547664709 + ... + 126547664941.

Almost surely, 2^{29485605904225} is an apocalyptic number.

29485605904225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29485605904225 is the 5430065-th square number.

29485605904225 is the 2715033-rd centered octagonal number.

It is an amenable number.

29485605904225 is a deficient number, since it is larger than the sum of its proper divisors (8345858692568).

29485605904225 is an frugal number, since it uses more digits than its factorization.

29485605904225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 61.

The spelling of 29485605904225 in words is "twenty-nine trillion, four hundred eighty-five billion, six hundred five million, nine hundred four thousand, two hundred twenty-five".