164311708966352 has 80 divisors (see below), whose sum is σ = 330211419783168. Its totient is φ = 79121718760320.

The previous prime is 164311708966337. The next prime is 164311708966373. The reversal of 164311708966352 is 253669807113461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320839163 + ... + 321350885.

It is a 1-persistent number, because it is pandigital, but 2⋅164311708966352 = 328623417932704 is not.

Almost surely, 2^{164311708966352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164311708966352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165105709891584).

164311708966352 is an abundant number, since it is smaller than the sum of its proper divisors (165899710816816).

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

164311708966352 is a wasteful number, since it uses less digits than its factorization.

164311708966352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514888 (or 514882 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 62.

The spelling of 164311708966352 in words is "one hundred sixty-four trillion, three hundred eleven billion, seven hundred eight million, nine hundred sixty-six thousand, three hundred fifty-two".