34816068504 has 384 divisors, whose sum is σ = 114296832000. Its totient is φ = 9365932800.

The previous prime is 34816068503. The next prime is 34816068533. The reversal of 34816068504 is 40586061843.

34816068504 is a `hidden beast` number, since 3 + 4 + 81 + 6 + 0 + 68 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34816068504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34816068503) 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, 165004959 + ... + 165005169.

It is an arithmetic number, because the mean of its divisors is an integer number (297648000).

Almost surely, 2^34816068504 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 34816068504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57148416000).

34816068504 is an abundant number, since it is smaller than the sum of its proper divisors (79480763496).

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

34816068504 is a wasteful number, since it uses less digits than its factorization.

34816068504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 34816068504 in words is "thirty-four billion, eight hundred sixteen million, sixty-eight thousand, five hundred four".