34564544520066 has 128 divisors (see below), whose sum is σ = 84463910784000. Its totient is φ = 10390279536000.

The previous prime is 34564544520031. The next prime is 34564544520083. The reversal of 34564544520066 is 66002544546543.

34564544520066 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 4 + 54 + 4 + 520 + 0 + 66 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 34564544519994 and 34564544520021.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212428710 + ... + 212591358.

It is an arithmetic number, because the mean of its divisors is an integer number (659874303000).

Almost surely, 2^{34564544520066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34564544520066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42231955392000).

34564544520066 is an abundant number, since it is smaller than the sum of its proper divisors (49899366263934).

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

34564544520066 is a wasteful number, since it uses less digits than its factorization.

34564544520066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165533 (or 165527 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 54.

The spelling of 34564544520066 in words is "thirty-four trillion, five hundred sixty-four billion, five hundred forty-four million, five hundred twenty thousand, sixty-six".