66404314415601 has 12 divisors (see below), whose sum is σ = 96139889089920. Its totient is φ = 44166829384440.

The previous prime is 66404314415519. The next prime is 66404314415627. The reversal of 66404314415601 is 10651441340466.

66404314415601 is a `hidden beast` number, since 6 + 6 + 4 + 0 + 4 + 31 + 4 + 4 + 1 + 5 + 601 = 666.

66404314415601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66404314415601 - 2²² = 66404310221297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66404314415801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8559459181 + ... + 8559466938.

It is an arithmetic number, because the mean of its divisors is an integer number (8011657424160).

Almost surely, 2^{66404314415601} is an apocalyptic number.

It is an amenable number.

66404314415601 is a deficient number, since it is larger than the sum of its proper divisors (29735574674319).

66404314415601 is a wasteful number, since it uses less digits than its factorization.

66404314415601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17118926556 (or 17118926553 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 66404314415601 in words is "sixty-six trillion, four hundred four billion, three hundred fourteen million, four hundred fifteen thousand, six hundred one".