164071687122 has 162 divisors, whose sum is σ = 433019012517. Its totient is φ = 44763852672.

The previous prime is 164071687111. The next prime is 164071687159. The reversal of 164071687122 is 221786170461.

164071687122 is a `hidden beast` number, since 16 + 407 + 168 + 71 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 161876670921 + 2195016201 = 402339^2 + 46851^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=286419.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 276680458 + ... + 276681050.

Almost surely, 2^164071687122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164071687122

164071687122 is an abundant number, since it is smaller than the sum of its proper divisors (268947325395).

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

164071687122 is an equidigital number, since it uses as much as digits as its factorization.

164071687122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 164071687122 in words is "one hundred sixty-four billion, seventy-one million, six hundred eighty-seven thousand, one hundred twenty-two".