34251217146 has 32 divisors (see below), whose sum is σ = 76455160320. Its totient is φ = 11365870752.

The previous prime is 34251217093. The next prime is 34251217151. The reversal of 34251217146 is 64171215243.

34251217146 is a `hidden beast` number, since 3 + 425 + 1 + 217 + 14 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34251217146.

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 15 ways as a sum of consecutive naturals, for example, 1410115 + ... + 1434198.

It is an arithmetic number, because the mean of its divisors is an integer number (2389223760).

Almost surely, 2^34251217146 is an apocalyptic number.

34251217146 is an abundant number, since it is smaller than the sum of its proper divisors (42203943174).

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

34251217146 is a wasteful number, since it uses less digits than its factorization.

34251217146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844547 (or 2844541 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The spelling of 34251217146 in words is "thirty-four billion, two hundred fifty-one million, two hundred seventeen thousand, one hundred forty-six".