164212326432 has 360 divisors, whose sum is σ = 612869075280. Its totient is φ = 42652189440.

The previous prime is 164212326419. The next prime is 164212326433. The reversal of 164212326432 is 234623212461.

164212326432 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 1 + 2 + 3 + 2 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (164212326433) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1338319 + ... + 1455857.

It is an arithmetic number, because the mean of its divisors is an integer number (1702414098).

Almost surely, 2^164212326432 is an apocalyptic number.

164212326432 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 164212326432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306434537640).

164212326432 is an abundant number, since it is smaller than the sum of its proper divisors (448656748848).

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

164212326432 is a wasteful number, since it uses less digits than its factorization.

164212326432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117586 (or 117562 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 164212326432 its reverse (234623212461), we get a palindrome (398835538893).

The spelling of 164212326432 in words is "one hundred sixty-four billion, two hundred twelve million, three hundred twenty-six thousand, four hundred thirty-two".