34014514000 has 160 divisors (see below), whose sum is σ = 83637575424. Its totient is φ = 13377830400.

The previous prime is 34014513983. The next prime is 34014514003. The reversal of 34014514000 is 41541043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014514003) 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 31 ways as a sum of consecutive naturals, for example, 33577494 + ... + 33578506.

Almost surely, 2^34014514000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34014514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41818787712).

34014514000 is an abundant number, since it is smaller than the sum of its proper divisors (49623061424).

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

34014514000 is a wasteful number, since it uses less digits than its factorization.

34014514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 34014514000 in words is "thirty-four billion, fourteen million, five hundred fourteen thousand".