164010405366 has 64 divisors (see below), whose sum is σ = 370021075200. Its totient is φ = 53837612928.

The previous prime is 164010405359. The next prime is 164010405367. The reversal of 164010405366 is 663504010461.

It is a happy number.

164010405366 is a `hidden beast` number, since 1 + 640 + 1 + 0 + 4 + 0 + 5 + 3 + 6 + 6 = 666.

164010405366 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 164010405366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164010405367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18733246 + ... + 18741998.

It is an arithmetic number, because the mean of its divisors is an integer number (5781579300).

Almost surely, 2^164010405366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164010405366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185010537600).

164010405366 is an abundant number, since it is smaller than the sum of its proper divisors (206010669834).

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

164010405366 is a wasteful number, since it uses less digits than its factorization.

164010405366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14010 (or 14004 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 164010405366 in words is "one hundred sixty-four billion, ten million, four hundred five thousand, three hundred sixty-six".