4617117386016 has 96 divisors (see below), whose sum is σ = 12475268628480. Its totient is φ = 1494432850176.

The previous prime is 4617117386003. The next prime is 4617117386017. The reversal of 4617117386016 is 6106837117164.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4617117386016.

It is not an unprimeable number, because it can be changed into a prime (4617117386017) 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 15 ways as a sum of consecutive naturals, for example, 3455706 + ... + 4601753.

It is an arithmetic number, because the mean of its divisors is an integer number (129950714880).

Almost surely, 2^{4617117386016} is an apocalyptic number.

It is an amenable number.

4617117386016 is an abundant number, since it is smaller than the sum of its proper divisors (7858151242464).

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

4617117386016 is a wasteful number, since it uses less digits than its factorization.

4617117386016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8057646 (or 8057638 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 4617117386016 in words is "four trillion, six hundred seventeen billion, one hundred seventeen million, three hundred eighty-six thousand, sixteen".