164681712000 has 1152 divisors, whose sum is σ = 656399596320. Its totient is φ = 39536640000.

The previous prime is 164681711969. The next prime is 164681712023. The reversal of 164681712000 is 217186461.

It is a happy number.

164681712000 is a `hidden beast` number, since 1 + 6 + 468 + 171 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×164681712000³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1630511950 + ... + 1630512050.

Almost surely, 2^164681712000 is an apocalyptic number.

164681712000 is a gapful number since it is divisible by the number (10) 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 164681712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328199798160).

164681712000 is an abundant number, since it is smaller than the sum of its proper divisors (491717884320).

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

164681712000 is a wasteful number, since it uses less digits than its factorization.

164681712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 164681712000 its reverse (217186461), we get a palindrome (164898898461).

The spelling of 164681712000 in words is "one hundred sixty-four billion, six hundred eighty-one million, seven hundred twelve thousand".