29112890625 has 243 divisors, whose sum is σ = 66212368443. Its totient is φ = 12285000000.

The previous prime is 29112890603. The next prime is 29112890627. The reversal of 29112890625 is 52609821192.

It is a happy number.

The square root of 29112890625 is 170625.

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

29112890625 is a `hidden beast` number, since 2 + 9 + 1 + 12 + 8 + 9 + 0 + 625 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 860659569 + 28252231056 = 29337^2 + 168084^2 .

It is not a de Polignac number, because 29112890625 - 2⁷ = 29112890497 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (29112890627) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2239453119 + ... + 2239453131.

Almost surely, 2^29112890625 is an apocalyptic number.

29112890625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29112890625 is the 170625-th square number.

29112890625 is the 85313-rd centered octagonal number.

It is an amenable number.

29112890625 is an abundant number, since it is smaller than the sum of its proper divisors (37099477818).

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

29112890625 is an frugal number, since it uses more digits than its factorization.

29112890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 29112890625 in words is "twenty-nine billion, one hundred twelve million, eight hundred ninety thousand, six hundred twenty-five".