34565161664 has 56 divisors (see below), whose sum is σ = 75239398416. Its totient is φ = 15624576000.

The previous prime is 34565161663. The next prime is 34565161669. The reversal of 34565161664 is 46616156543.

It is not an unprimeable number, because it can be changed into a prime (34565161663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8207 + ... + 263054.

It is an arithmetic number, because the mean of its divisors is an integer number (1343560686).

Almost surely, 2^34565161664 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 34565161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37619699208).

34565161664 is an abundant number, since it is smaller than the sum of its proper divisors (40674236752).

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

34565161664 is a wasteful number, since it uses less digits than its factorization.

34565161664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271465 (or 271455 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 47.

The spelling of 34565161664 in words is "thirty-four billion, five hundred sixty-five million, one hundred sixty-one thousand, six hundred sixty-four".