164315354112 has 352 divisors, whose sum is σ = 598929273600. Its totient is φ = 43335254016.

The previous prime is 164315354111. The next prime is 164315354141. The reversal of 164315354112 is 211453513461.

164315354112 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 1 + 535 + 4 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164315354111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2483314 + ... + 2548622.

Almost surely, 2^164315354112 is an apocalyptic number.

164315354112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164315354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299464636800).

164315354112 is an abundant number, since it is smaller than the sum of its proper divisors (434613919488).

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

164315354112 is a wasteful number, since it uses less digits than its factorization.

164315354112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65358 (or 65334 counting only the distinct ones).

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

Adding to 164315354112 its reverse (211453513461), we get a palindrome (375768867573).

The spelling of 164315354112 in words is "one hundred sixty-four billion, three hundred fifteen million, three hundred fifty-four thousand, one hundred twelve".