16442664001753 has 8 divisors (see below), whose sum is σ = 17948009311200. Its totient is φ = 14939078304480.

The previous prime is 16442664001723. The next prime is 16442664001763. The reversal of 16442664001753 is 35710046624461.

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

It is not a de Polignac number, because 16442664001753 - 2⁹ = 16442664001241 is a prime.

It is a super-3 number, since 3×16442664001753³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16442664001697 and 16442664001706.

It is not an unprimeable number, because it can be changed into a prime (16442664001723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439883500 + ... + 439920877.

It is an arithmetic number, because the mean of its divisors is an integer number (2243501163900).

Almost surely, 2^{16442664001753} is an apocalyptic number.

It is an amenable number.

16442664001753 is a deficient number, since it is larger than the sum of its proper divisors (1505345309447).

16442664001753 is a wasteful number, since it uses less digits than its factorization.

16442664001753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879806087.

The product of its (nonzero) digits is 2903040, while the sum is 49.

The spelling of 16442664001753 in words is "sixteen trillion, four hundred forty-two billion, six hundred sixty-four million, one thousand, seven hundred fifty-three".