34054521104688 has 160 divisors (see below), whose sum is σ = 101720600179200. Its totient is φ = 9615902681088.

The previous prime is 34054521104687. The next prime is 34054521104743. The reversal of 34054521104688 is 88640112545043.

It is a self number, because there is not a number n which added to its sum of digits gives 34054521104688.

It is not an unprimeable number, because it can be changed into a prime (34054521104687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62016678 + ... + 62563386.

It is an arithmetic number, because the mean of its divisors is an integer number (635753751120).

Almost surely, 2^{34054521104688} 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 34054521104688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50860300089600).

34054521104688 is an abundant number, since it is smaller than the sum of its proper divisors (67666079074512).

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

34054521104688 is a wasteful number, since it uses less digits than its factorization.

34054521104688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548899 (or 548893 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 34054521104688 in words is "thirty-four trillion, fifty-four billion, five hundred twenty-one million, one hundred four thousand, six hundred eighty-eight".