164881446912 has 1152 divisors, whose sum is σ = 635785113600. Its totient is φ = 41803776000.

The previous prime is 164881446911. The next prime is 164881446979. The reversal of 164881446912 is 219644188461.

164881446912 is a `hidden beast` number, since 1 + 6 + 488 + 144 + 6 + 9 + 12 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164881446911) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1091930037 + ... + 1091930187.

It is an arithmetic number, because the mean of its divisors is an integer number (551896800).

Almost surely, 2^164881446912 is an apocalyptic number.

164881446912 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 164881446912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317892556800).

164881446912 is an abundant number, since it is smaller than the sum of its proper divisors (470903666688).

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

164881446912 is a wasteful number, since it uses less digits than its factorization.

164881446912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 207 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 164881446912 in words is "one hundred sixty-four billion, eight hundred eighty-one million, four hundred forty-six thousand, nine hundred twelve".