34164500656 has 160 divisors (see below), whose sum is σ = 81399790080. Its totient is φ = 13668864000.

The previous prime is 34164500603. The next prime is 34164500681. The reversal of 34164500656 is 65600546143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21101415 + ... + 21103033.

It is an arithmetic number, because the mean of its divisors is an integer number (508748688).

Almost surely, 2^34164500656 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 34164500656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40699895040).

34164500656 is an abundant number, since it is smaller than the sum of its proper divisors (47235289424).

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

34164500656 is a wasteful number, since it uses less digits than its factorization.

34164500656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 34164500656 in words is "thirty-four billion, one hundred sixty-four million, five hundred thousand, six hundred fifty-six".