164905989767 has 8 divisors (see below), whose sum is σ = 170285630592. Its totient is φ = 159530104800.

The previous prime is 164905989749. The next prime is 164905989823. The reversal of 164905989767 is 767989509461.

164905989767 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164905989767 is a prime.

It is a super-2 number, since 2×164905989767² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 164905989767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164905989707) 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 7 ways as a sum of consecutive naturals, for example, 849584 + ... + 1025477.

It is an arithmetic number, because the mean of its divisors is an integer number (21285703824).

Almost surely, 2^164905989767 is an apocalyptic number.

164905989767 is a deficient number, since it is larger than the sum of its proper divisors (5379640825).

164905989767 is a wasteful number, since it uses less digits than its factorization.

164905989767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877929.

The product of its (nonzero) digits is 205752960, while the sum is 71.

The spelling of 164905989767 in words is "one hundred sixty-four billion, nine hundred five million, nine hundred eighty-nine thousand, seven hundred sixty-seven".