164952353567232 has 960 divisors, whose sum is σ = 647912980915200. Its totient is φ = 40589734625280.

The previous prime is 164952353567191. The next prime is 164952353567233. The reversal of 164952353567232 is 232765353259461.

164952353567232 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 5 + 2 + 3 + 535 + 67 + 2 + 32 = 666.

It is a super-3 number, since 3×164952353567232³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 164952353567232.

It is not an unprimeable number, because it can be changed into a prime (164952353567233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181567494 + ... + 182473722.

It is an arithmetic number, because the mean of its divisors is an integer number (674909355120).

Almost surely, 2^{164952353567232} is an apocalyptic number.

164952353567232 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 164952353567232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323956490457600).

164952353567232 is an abundant number, since it is smaller than the sum of its proper divisors (482960627347968).

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

164952353567232 is an equidigital number, since it uses as much as digits as its factorization.

164952353567232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906299 (or 906271 counting only the distinct ones).

The product of its digits is 244944000, while the sum is 63.

The spelling of 164952353567232 in words is "one hundred sixty-four trillion, nine hundred fifty-two billion, three hundred fifty-three million, five hundred sixty-seven thousand, two hundred thirty-two".