29844290025 has 135 divisors (see below), whose sum is σ = 60939057333. Its totient is φ = 14428497600.

The previous prime is 29844289999. The next prime is 29844290029. The reversal of 29844290025 is 52009244892.

The square root of 29844290025 is 172755.

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 307055529 + 29537234496 = 17523^2 + 171864^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 29844290025 - 2⁹ = 29844289513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (29844290029) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 85513551 + ... + 85513899.

Almost surely, 2^29844290025 is an apocalyptic number.

29844290025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29844290025 is the 172755-th square number.

29844290025 is the 86378-th centered octagonal number.

It is an amenable number.

29844290025 is an abundant number, since it is smaller than the sum of its proper divisors (31094767308).

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

29844290025 is an equidigital number, since it uses as much as digits as its factorization.

29844290025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 29844290025 in words is "twenty-nine billion, eight hundred forty-four million, two hundred ninety thousand, twenty-five".