64004044040046 has 48 divisors (see below), whose sum is σ = 151282836759600. Its totient is φ = 19395094239360.

The previous prime is 64004044040023. The next prime is 64004044040077.

64004044040046 is a `hidden beast` number, since 640 + 0 + 4 + 0 + 4 + 4 + 0 + 4 + 0 + 0 + 4 + 6 = 666.

64004044040046 is nontrivially palindromic in base 10.

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, 86066466 + ... + 86806938.

It is an arithmetic number, because the mean of its divisors is an integer number (3151725765825).

Almost surely, 2^{64004044040046} is an apocalyptic number.

64004044040046 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64004044040046 is an abundant number, since it is smaller than the sum of its proper divisors (87278792719554).

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

64004044040046 is a wasteful number, since it uses less digits than its factorization.

64004044040046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177041 (or 1177038 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 64004044040046 in words is "sixty-four trillion, four billion, forty-four million, forty thousand, forty-six", and thus it is an eban number.