34101162225 has 81 divisors (see below), whose sum is σ = 66208680993. Its totient is φ = 16770536640.

The previous prime is 34101162187. The next prime is 34101162269. The reversal of 34101162225 is 52226110143.

The square root of 34101162225 is 184665.

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

34101162225 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 11 + 622 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8789625009 + 25311537216 = 93753^2 + 159096^2 .

It is not a de Polignac number, because 34101162225 - 2¹⁵ = 34101129457 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36009202 + ... + 36010148.

Almost surely, 2^34101162225 is an apocalyptic number.

34101162225 is the 184665-th square number.

34101162225 is the 92333-rd centered octagonal number.

It is an amenable number.

34101162225 is a deficient number, since it is larger than the sum of its proper divisors (32107518768).

34101162225 is an equidigital number, since it uses as much as digits as its factorization.

34101162225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 34101162225 its reverse (52226110143), we get a palindrome (86327272368).

The spelling of 34101162225 in words is "thirty-four billion, one hundred one million, one hundred sixty-two thousand, two hundred twenty-five".