16919245116601 has 9 divisors (see below), whose sum is σ = 16951377341101. Its totient is φ = 16887173708704.

The previous prime is 16919245116589. The next prime is 16919245116607. The reversal of 16919245116601 is 10661154291961.

It is a happy number.

The square root of 16919245116601 is 4113301.

It is a perfect power (a square), and thus also a powerful number.

16919245116601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2223829545001 + 14695415571600 = 1491251^2 + 3833460^2 .

It is not a de Polignac number, because 16919245116601 - 2²³ = 16919236727993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16919245116607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2340464655 + ... + 2340471883.

Almost surely, 2^{16919245116601} is an apocalyptic number.

16919245116601 is the 4113301-st square number.

16919245116601 is the 2056651-st centered octagonal number.

It is an amenable number.

16919245116601 is a deficient number, since it is larger than the sum of its proper divisors (32132224500).

16919245116601 is an frugal number, since it uses more digits than its factorization.

16919245116601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15596 (or 7798 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 52.

The spelling of 16919245116601 in words is "sixteen trillion, nine hundred nineteen billion, two hundred forty-five million, one hundred sixteen thousand, six hundred one".