34564220514 has 144 divisors (see below), whose sum is σ = 82935630648. Its totient is φ = 10359954432.

The previous prime is 34564220513. The next prime is 34564220521. The reversal of 34564220514 is 41502246543.

34564220514 is a `hidden beast` number, since 3 + 4 + 5 + 642 + 2 + 0 + 5 + 1 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33560408025 + 1003812489 = 183195^2 + 31683^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34564220513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39411444 + ... + 39412320.

Almost surely, 2^34564220514 is an apocalyptic number.

34564220514 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34564220514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41467815324).

34564220514 is an abundant number, since it is smaller than the sum of its proper divisors (48371410134).

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

34564220514 is a wasteful number, since it uses less digits than its factorization.

34564220514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 34564220514 in words is "thirty-four billion, five hundred sixty-four million, two hundred twenty thousand, five hundred fourteen".