165981733576906 has 256 divisors, whose sum is σ = 295295843082240. Its totient is φ = 69310765117440.

The previous prime is 165981733576889. The next prime is 165981733576907. The reversal of 165981733576906 is 609675337189561.

It is a Smith number, since the sum of its digits (76) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (165981733576907) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129977864340 + ... + 129977865616.

It is an arithmetic number, because the mean of its divisors is an integer number (1153499387040).

Almost surely, 2^{165981733576906} is an apocalyptic number.

165981733576906 is a deficient number, since it is larger than the sum of its proper divisors (129314109505334).

165981733576906 is a wasteful number, since it uses less digits than its factorization.

165981733576906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029.

The product of its (nonzero) digits is 1543147200, while the sum is 76.

The spelling of 165981733576906 in words is "one hundred sixty-five trillion, nine hundred eighty-one billion, seven hundred thirty-three million, five hundred seventy-six thousand, nine hundred six".