34334450145 has 24 divisors (see below), whose sum is σ = 59526643176. Its totient is φ = 18307523328.

The previous prime is 34334450131. The next prime is 34334450173. The reversal of 34334450145 is 54105443343.

34334450145 is a `hidden beast` number, since 34 + 3 + 34 + 450 + 145 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15644005776 + 18690444369 = 125076^2 + 136713^2 .

It is not a de Polignac number, because 34334450145 - 2⁵ = 34334450113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117277 + ... + 287093.

It is an arithmetic number, because the mean of its divisors is an integer number (2480276799).

Almost surely, 2^34334450145 is an apocalyptic number.

It is an amenable number.

34334450145 is a deficient number, since it is larger than the sum of its proper divisors (25192193031).

34334450145 is a wasteful number, since it uses less digits than its factorization.

34334450145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174321 (or 174318 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 34334450145 its reverse (54105443343), we get a palindrome (88439893488).

The spelling of 34334450145 in words is "thirty-four billion, three hundred thirty-four million, four hundred fifty thousand, one hundred forty-five".