164281980981006 has 24 divisors (see below), whose sum is σ = 406793476715184. Its totient is φ = 46937708851680.

The previous prime is 164281980980947. The next prime is 164281980981047. The reversal of 164281980981006 is 600189089182461.

164281980981006 is a `hidden beast` number, since 1 + 6 + 428 + 19 + 8 + 0 + 98 + 100 + 6 = 666.

164281980981006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164281980981006² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 651912622815 + ... + 651912623066.

It is an arithmetic number, because the mean of its divisors is an integer number (16949728196466).

Almost surely, 2^{164281980981006} is an apocalyptic number.

164281980981006 is an abundant number, since it is smaller than the sum of its proper divisors (242511495734178).

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

164281980981006 is a wasteful number, since it uses less digits than its factorization.

164281980981006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303825245896 (or 1303825245893 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 164281980981006 in words is "one hundred sixty-four trillion, two hundred eighty-one billion, nine hundred eighty million, nine hundred eighty-one thousand, six".