16442615642624 has 160 divisors (see below), whose sum is σ = 36163304686080. Its totient is φ = 7433972232192.

The previous prime is 16442615642573. The next prime is 16442615642627. The reversal of 16442615642624 is 42624651624461.

It is a super-3 number, since 3×16442615642624³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16442615642627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104409767 + ... + 104567129.

It is an arithmetic number, because the mean of its divisors is an integer number (226020654288).

Almost surely, 2^{16442615642624} 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 16442615642624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18081652343040).

16442615642624 is an abundant number, since it is smaller than the sum of its proper divisors (19720689043456).

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

16442615642624 is a wasteful number, since it uses less digits than its factorization.

16442615642624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157890 (or 157874 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 53.

The spelling of 16442615642624 in words is "sixteen trillion, four hundred forty-two billion, six hundred fifteen million, six hundred forty-two thousand, six hundred twenty-four".