34966466064 has 60 divisors (see below), whose sum is σ = 97906033836. Its totient is φ = 11649712896.

The previous prime is 34966466063. The next prime is 34966466071. The reversal of 34966466064 is 46066466943.

34966466064 is a `hidden beast` number, since 34 + 96 + 6 + 466 + 0 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11062832400 + 23903633664 = 105180^2 + 154608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34966466064.

It is not an unprimeable number, because it can be changed into a prime (34966466063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236494 + ... + 354770.

Almost surely, 2^34966466064 is an apocalyptic number.

It is an amenable number.

34966466064 is an abundant number, since it is smaller than the sum of its proper divisors (62939567772).

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

34966466064 is a wasteful number, since it uses less digits than its factorization.

34966466064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120344 (or 120335 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 34966466064 in words is "thirty-four billion, nine hundred sixty-six million, four hundred sixty-six thousand, sixty-four".