164890721952 has 288 divisors, whose sum is σ = 548471770560. Its totient is φ = 47792954880.

The previous prime is 164890721939. The next prime is 164890721999. The reversal of 164890721952 is 259127098461.

It is a happy number.

164890721952 is a `hidden beast` number, since 1 + 6 + 489 + 0 + 72 + 1 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5011218 + ... + 5044014.

It is an arithmetic number, because the mean of its divisors is an integer number (1904415870).

Almost surely, 2^164890721952 is an apocalyptic number.

164890721952 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 164890721952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274235885280).

164890721952 is an abundant number, since it is smaller than the sum of its proper divisors (383581048608).

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

164890721952 is a wasteful number, since it uses less digits than its factorization.

164890721952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32873 (or 32836 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 164890721952 in words is "one hundred sixty-four billion, eight hundred ninety million, seven hundred twenty-one thousand, nine hundred fifty-two".