34506383042214 has 48 divisors (see below), whose sum is σ = 77783248158720. Its totient is φ = 11043444893040.

The previous prime is 34506383042177. The next prime is 34506383042221. The reversal of 34506383042214 is 41224038360543.

34506383042214 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 638 + 3 + 0 + 4 + 2 + 2 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34506383042214.

It is a congruent number.

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, 243391324 + ... + 243533055.

It is an arithmetic number, because the mean of its divisors is an integer number (1620484336640).

Almost surely, 2^{34506383042214} is an apocalyptic number.

34506383042214 is an abundant number, since it is smaller than the sum of its proper divisors (43276865116506).

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

34506383042214 is a wasteful number, since it uses less digits than its factorization.

34506383042214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486924545 (or 486924542 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 34506383042214 in words is "thirty-four trillion, five hundred six billion, three hundred eighty-three million, forty-two thousand, two hundred fourteen".