34456656564 has 72 divisors (see below), whose sum is σ = 95117585472. Its totient is φ = 10430340480.

The previous prime is 34456656557. The next prime is 34456656571. The reversal of 34456656564 is 46565665443.

34456656564 is a `hidden beast` number, since 34 + 45 + 6 + 6 + 5 + 6 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (34456656557) and next prime (34456656571).

It is a super-2 number, since 2×34456656564² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34456656564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331737 + ... + 423039.

It is an arithmetic number, because the mean of its divisors is an integer number (1321077576).

Almost surely, 2^34456656564 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 34456656564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47558792736).

34456656564 is an abundant number, since it is smaller than the sum of its proper divisors (60660928908).

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

34456656564 is a wasteful number, since it uses less digits than its factorization.

34456656564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92277 (or 92272 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 54.

The spelling of 34456656564 in words is "thirty-four billion, four hundred fifty-six million, six hundred fifty-six thousand, five hundred sixty-four".