4616044406164 has 48 divisors (see below), whose sum is σ = 8589315059136. Its totient is φ = 2163103040000.

The previous prime is 4616044406123. The next prime is 4616044406167.

It is a happy number.

4616044406164 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4616044406167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80037162 + ... + 80094814.

It is an arithmetic number, because the mean of its divisors is an integer number (178944063732).

Almost surely, 2^{4616044406164} is an apocalyptic number.

It is an amenable number.

4616044406164 is a deficient number, since it is larger than the sum of its proper divisors (3973270652972).

4616044406164 is a wasteful number, since it uses less digits than its factorization.

4616044406164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62616 (or 62614 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 4616044406164 in words is "four trillion, six hundred sixteen billion, forty-four million, four hundred six thousand, one hundred sixty-four".