34106863518 has 192 divisors, whose sum is σ = 95032828800. Its totient is φ = 8597836800.

The previous prime is 34106863517. The next prime is 34106863573. The reversal of 34106863518 is 81536860143.

34106863518 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 6 + 8 + 635 + 1 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34106863517) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4794148 + ... + 4801256.

It is an arithmetic number, because the mean of its divisors is an integer number (494962650).

Almost surely, 2^34106863518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34106863518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47516414400).

34106863518 is an abundant number, since it is smaller than the sum of its proper divisors (60925965282).

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

34106863518 is a wasteful number, since it uses less digits than its factorization.

34106863518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7267 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 34106863518 in words is "thirty-four billion, one hundred six million, eight hundred sixty-three thousand, five hundred eighteen".