34483045014 has 96 divisors (see below), whose sum is σ = 85857408000. Its totient is φ = 9892255680.

The previous prime is 34483045001. The next prime is 34483045027. The reversal of 34483045014 is 41054038443.

34483045014 is a `hidden beast` number, since 344 + 8 + 304 + 5 + 0 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34483045001) and next prime (34483045027).

It is a self number, because there is not a number n which added to its sum of digits gives 34483045014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7329787 + ... + 7334489.

It is an arithmetic number, because the mean of its divisors is an integer number (894348000).

Almost surely, 2^34483045014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34483045014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42928704000).

34483045014 is an abundant number, since it is smaller than the sum of its proper divisors (51374362986).

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

34483045014 is a wasteful number, since it uses less digits than its factorization.

34483045014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6690 (or 6687 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 34483045014 in words is "thirty-four billion, four hundred eighty-three million, forty-five thousand, fourteen".