29646554868225 has 45 divisors (see below), whose sum is σ = 54916121671257. Its totient is φ = 15811365252960.

The previous prime is 29646554868169. The next prime is 29646554868317. The reversal of 29646554868225 is 52286845564692.

The square root of 29646554868225 is 5444865.

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

29646554868225 is a `hidden beast` number, since 2 + 9 + 6 + 4 + 6 + 554 + 8 + 68 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 639540882369 + 29007013985856 = 799713^2 + 5385816^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 29646554868225 - 2¹¹ = 29646554866177 is a prime.

It is a super-2 number, since 2×29646554868225² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 244958427 + ... + 245079423.

Almost surely, 2^{29646554868225} is an apocalyptic number.

29646554868225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29646554868225 is the 5444865-th square number.

29646554868225 is the 2722433-rd centered octagonal number.

It is an amenable number.

29646554868225 is a deficient number, since it is larger than the sum of its proper divisors (25269566803032).

29646554868225 is an frugal number, since it uses more digits than its factorization.

29646554868225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242016 (or 121005 counting only the distinct ones).

The product of its digits is 1990656000, while the sum is 72.

The spelling of 29646554868225 in words is "twenty-nine trillion, six hundred forty-six billion, five hundred fifty-four million, eight hundred sixty-eight thousand, two hundred twenty-five".