17119941606664 has 128 divisors (see below), whose sum is σ = 34919928650880. Its totient is φ = 7821809971200.

The previous prime is 17119941606661. The next prime is 17119941606671. The reversal of 17119941606664 is 46660614991171.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (17119941606661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4513560352 + ... + 4513564144.

It is an arithmetic number, because the mean of its divisors is an integer number (272811942585).

Almost surely, 2^{17119941606664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17119941606664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17459964325440).

17119941606664 is an abundant number, since it is smaller than the sum of its proper divisors (17799987044216).

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

17119941606664 is a wasteful number, since it uses less digits than its factorization.

17119941606664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 61.

The spelling of 17119941606664 in words is "seventeen trillion, one hundred nineteen billion, nine hundred forty-one million, six hundred six thousand, six hundred sixty-four".