16028735686146 has 48 divisors (see below), whose sum is σ = 34874578990680. Its totient is φ = 5320505917440.

The previous prime is 16028735686141. The next prime is 16028735686151. The reversal of 16028735686146 is 64168653782061.

16028735686146 is a `hidden beast` number, since 1 + 6 + 0 + 2 + 8 + 7 + 3 + 5 + 6 + 8 + 614 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (16028735686141) and next prime (16028735686151).

It can be written as a sum of positive squares in 4 ways, for example, as 13619531916225 + 2409203769921 = 3690465^2 + 1552161^2 .

It is not an unprimeable number, because it can be changed into a prime (16028735686141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116853570 + ... + 116990658.

Almost surely, 2^{16028735686146} is an apocalyptic number.

16028735686146 is an abundant number, since it is smaller than the sum of its proper divisors (18845843304534).

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

16028735686146 is a wasteful number, since it uses less digits than its factorization.

16028735686146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164291 (or 164288 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 16028735686146 in words is "sixteen trillion, twenty-eight billion, seven hundred thirty-five million, six hundred eighty-six thousand, one hundred forty-six".