4172164057617 has 8 divisors (see below), whose sum is σ = 5583412663680. Its totient is φ = 2771179078320.

The previous prime is 4172164057613. The next prime is 4172164057631. The reversal of 4172164057617 is 7167504612714.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4172164057617 - 2² = 4172164057613 is a prime.

It is a super-2 number, since 2×4172164057617² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4172164057617.

It is not an unprimeable number, because it can be changed into a prime (4172164057613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2565905742 + ... + 2565907367.

It is an arithmetic number, because the mean of its divisors is an integer number (697926582960).

Almost surely, 2^{4172164057617} is an apocalyptic number.

It is an amenable number.

4172164057617 is a deficient number, since it is larger than the sum of its proper divisors (1411248606063).

4172164057617 is a wasteful number, since it uses less digits than its factorization.

4172164057617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131813383.

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 4172164057617 in words is "four trillion, one hundred seventy-two billion, one hundred sixty-four million, fifty-seven thousand, six hundred seventeen".