164327854565952 has 448 divisors, whose sum is σ = 602600016844800. Its totient is φ = 42661181122560.

The previous prime is 164327854565951. The next prime is 164327854566061. The reversal of 164327854565952 is 259565458723461.

164327854565952 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 2 + 7 + 8 + 5 + 4 + 565 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (164327854565951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266202874 + ... + 266819462.

Almost surely, 2^{164327854565952} is an apocalyptic number.

164327854565952 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 164327854565952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301300008422400).

164327854565952 is an abundant number, since it is smaller than the sum of its proper divisors (438272162278848).

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

164327854565952 is a wasteful number, since it uses less digits than its factorization.

164327854565952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618631 (or 618615 counting only the distinct ones).

The product of its digits is 2177280000, while the sum is 72.

The spelling of 164327854565952 in words is "one hundred sixty-four trillion, three hundred twenty-seven billion, eight hundred fifty-four million, five hundred sixty-five thousand, nine hundred fifty-two".