34085554146 has 144 divisors (see below), whose sum is σ = 91087869600. Its totient is φ = 9159163776.

The previous prime is 34085554079. The next prime is 34085554157. The reversal of 34085554146 is 64145558043.

34085554146 is a `hidden beast` number, since 3 + 4 + 0 + 85 + 554 + 14 + 6 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2322046 + ... + 2336678.

It is an arithmetic number, because the mean of its divisors is an integer number (632554650).

Almost surely, 2^34085554146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34085554146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45543934800).

34085554146 is an abundant number, since it is smaller than the sum of its proper divisors (57002315454).

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

34085554146 is a wasteful number, since it uses less digits than its factorization.

34085554146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14813 (or 14803 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 34085554146 in words is "thirty-four billion, eighty-five million, five hundred fifty-four thousand, one hundred forty-six".