34068998167512 has 384 divisors, whose sum is σ = 114839490528000. Its totient is φ = 8328540165120.

The previous prime is 34068998167489. The next prime is 34068998167549. The reversal of 34068998167512 is 21576189986043.

It is a super-2 number, since 2×34068998167512² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63286539 + ... + 63822597.

It is an arithmetic number, because the mean of its divisors is an integer number (299061173250).

It is a 2-persistent number, because it is pandigital, and so is 2⋅34068998167512 = 68137996335024, but 3⋅34068998167512 = 102206994502536 is not.

Almost surely, 2^{34068998167512} 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 34068998167512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57419745264000).

34068998167512 is an abundant number, since it is smaller than the sum of its proper divisors (80770492360488).

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

34068998167512 is a wasteful number, since it uses less digits than its factorization.

34068998167512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536144 (or 536099 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 69.

The spelling of 34068998167512 in words is "thirty-four trillion, sixty-eight billion, nine hundred ninety-eight million, one hundred sixty-seven thousand, five hundred twelve".