164432866752 has 1344 divisors, whose sum is σ = 655965363200. Its totient is φ = 39907676160.

The previous prime is 164432866729. The next prime is 164432866757. The reversal of 164432866752 is 257668234461.

164432866752 is a `hidden beast` number, since 1 + 64 + 432 + 86 + 6 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×164432866752³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164432866757) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2252504988 + ... + 2252505060.

Almost surely, 2^164432866752 is an apocalyptic number.

164432866752 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 164432866752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327982681600).

164432866752 is an abundant number, since it is smaller than the sum of its proper divisors (491532496448).

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

164432866752 is an equidigital number, since it uses as much as digits as its factorization.

164432866752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 115 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 164432866752 in words is "one hundred sixty-four billion, four hundred thirty-two million, eight hundred sixty-six thousand, seven hundred fifty-two".