164342411168 has 48 divisors (see below), whose sum is σ = 354149661096. Its totient is φ = 74606883840.

The previous prime is 164342411147. The next prime is 164342411179. The reversal of 164342411168 is 861114243461.

164342411168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17766757264 + 146575653904 = 133292^2 + 382852^2 .

It is a super-2 number, since 2×164342411168² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3212771 + ... + 3263522.

Almost surely, 2^164342411168 is an apocalyptic number.

It is an amenable number.

164342411168 is an abundant number, since it is smaller than the sum of its proper divisors (189807249928).

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

164342411168 is a wasteful number, since it uses less digits than its factorization.

164342411168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6476377 (or 6476369 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The spelling of 164342411168 in words is "one hundred sixty-four billion, three hundred forty-two million, four hundred eleven thousand, one hundred sixty-eight".