164522152314 has 96 divisors (see below), whose sum is σ = 398830657680. Its totient is φ = 48666369024.

The previous prime is 164522152307. The next prime is 164522152337. The reversal of 164522152314 is 413251225461.

164522152314 is a `hidden beast` number, since 1 + 64 + 52 + 21 + 523 + 1 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 51200375625 + 113321776689 = 226275^2 + 336633^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1529112 + ... + 1633164.

Almost surely, 2^164522152314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164522152314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199415328840).

164522152314 is an abundant number, since it is smaller than the sum of its proper divisors (234308505366).

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

164522152314 is a wasteful number, since it uses less digits than its factorization.

164522152314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104336 (or 104333 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 164522152314 its reverse (413251225461), we get a palindrome (577773377775).

The spelling of 164522152314 in words is "one hundred sixty-four billion, five hundred twenty-two million, one hundred fifty-two thousand, three hundred fourteen".