34145406134784 has 120 divisors (see below), whose sum is σ = 112623947573280. Its totient is φ = 9755830315008.

The previous prime is 34145406134783. The next prime is 34145406134813. The reversal of 34145406134784 is 48743160454143.

34145406134784 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 540 + 6 + 13 + 4 + 7 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34145406134784.

It is not an unprimeable number, because it can be changed into a prime (34145406134783) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 529255414 + ... + 529319925.

It is an arithmetic number, because the mean of its divisors is an integer number (938532896444).

Almost surely, 2^{34145406134784} is an apocalyptic number.

It is an amenable number.

34145406134784 is an abundant number, since it is smaller than the sum of its proper divisors (78478541438496).

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

34145406134784 is a wasteful number, since it uses less digits than its factorization.

34145406134784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058575370 (or 1058575351 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 34145406134784 in words is "thirty-four trillion, one hundred forty-five billion, four hundred six million, one hundred thirty-four thousand, seven hundred eighty-four".