34251055218 has 72 divisors (see below), whose sum is σ = 78895365120. Its totient is φ = 10736895360.

The previous prime is 34251055171. The next prime is 34251055229. The reversal of 34251055218 is 81255015243.

34251055218 is a `hidden beast` number, since 3 + 4 + 25 + 105 + 521 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10979863 + ... + 10982981.

It is an arithmetic number, because the mean of its divisors is an integer number (1095768960).

Almost surely, 2^34251055218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34251055218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39447682560).

34251055218 is an abundant number, since it is smaller than the sum of its proper divisors (44644309902).

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

34251055218 is a wasteful number, since it uses less digits than its factorization.

34251055218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5272 (or 5252 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 34251055218 in words is "thirty-four billion, two hundred fifty-one million, fifty-five thousand, two hundred eighteen".