34249464145 has 16 divisors (see below), whose sum is σ = 45787084560. Its totient is φ = 24419775744.

The previous prime is 34249464131. The next prime is 34249464167. The reversal of 34249464145 is 54146494243.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 394936129 + 33854528016 = 19873^2 + 183996^2 .

It is not a de Polignac number, because 34249464145 - 2⁷ = 34249464017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34249464095 and 34249464104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9082854 + ... + 9086623.

It is an arithmetic number, because the mean of its divisors is an integer number (2861692785).

Almost surely, 2^34249464145 is an apocalyptic number.

It is an amenable number.

34249464145 is a deficient number, since it is larger than the sum of its proper divisors (11537620415).

34249464145 is a wasteful number, since it uses less digits than its factorization.

34249464145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18169524.

The product of its digits is 1658880, while the sum is 46.

The spelling of 34249464145 in words is "thirty-four billion, two hundred forty-nine million, four hundred sixty-four thousand, one hundred forty-five".