164315050146 has 224 divisors, whose sum is σ = 421417080000. Its totient is φ = 47611234944.

The previous prime is 164315050139. The next prime is 164315050187. The reversal of 164315050146 is 641050513461.

164315050146 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 1 + 505 + 0 + 146 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 164315050146.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 64461280 + ... + 64463828.

It is an arithmetic number, because the mean of its divisors is an integer number (1881326250).

Almost surely, 2^164315050146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164315050146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210708540000).

164315050146 is an abundant number, since it is smaller than the sum of its proper divisors (257102029854).

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

164315050146 is a wasteful number, since it uses less digits than its factorization.

164315050146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 164315050146 in words is "one hundred sixty-four billion, three hundred fifteen million, fifty thousand, one hundred forty-six".