34881165225 has 27 divisors (see below), whose sum is σ = 62481060759. Its totient is φ = 18601794000.

The previous prime is 34881165217. The next prime is 34881165299. The reversal of 34881165225 is 52256118843.

The square root of 34881165225 is 186765.

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

34881165225 is a `hidden beast` number, since 3 + 4 + 8 + 8 + 116 + 522 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12557219481 + 22323945744 = 112059^2 + 149412^2 .

It is not a de Polignac number, because 34881165225 - 2³ = 34881165217 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2795250 + ... + 2807700.

Almost surely, 2^34881165225 is an apocalyptic number.

34881165225 is the 186765-th square number.

34881165225 is the 93383-rd centered octagonal number.

It is an amenable number.

34881165225 is a deficient number, since it is larger than the sum of its proper divisors (27599895534).

34881165225 is an frugal number, since it uses more digits than its factorization.

34881165225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24918 (or 12459 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 34881165225 in words is "thirty-four billion, eight hundred eighty-one million, one hundred sixty-five thousand, two hundred twenty-five".