34120462653225 has 144 divisors (see below), whose sum is σ = 69694054138800. Its totient is φ = 15807841320960.

The previous prime is 34120462653217. The next prime is 34120462653317. The reversal of 34120462653225 is 52235626402143.

34120462653225 is a `hidden beast` number, since 3 + 4 + 1 + 20 + 46 + 265 + 322 + 5 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 26764233109056 + 7356229544169 = 5173416^2 + 2712237^2 .

It is not a de Polignac number, because 34120462653225 - 2³ = 34120462653217 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 493684971 + ... + 493754079.

It is an arithmetic number, because the mean of its divisors is an integer number (483986487075).

Almost surely, 2^{34120462653225} is an apocalyptic number.

It is an amenable number.

34120462653225 is an abundant number, since it is smaller than the sum of its proper divisors (35573591485575).

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

34120462653225 is a wasteful number, since it uses less digits than its factorization.

34120462653225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79084 (or 79076 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 34120462653225 in words is "thirty-four trillion, one hundred twenty billion, four hundred sixty-two million, six hundred fifty-three thousand, two hundred twenty-five".