164827321344 has 528 divisors, whose sum is σ = 592424726400. Its totient is φ = 43067179008.

The previous prime is 164827321297. The next prime is 164827321349. The reversal of 164827321344 is 443123728461.

164827321344 is a `hidden beast` number, since 1 + 6 + 482 + 7 + 32 + 134 + 4 = 666.

It is a super-2 number, since 2×164827321344² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 164827321344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164827321349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35543794 + ... + 35548430.

Almost surely, 2^164827321344 is an apocalyptic number.

164827321344 is a gapful number since it is divisible by the number (14) 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 164827321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296212363200).

164827321344 is an abundant number, since it is smaller than the sum of its proper divisors (427597405056).

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

164827321344 is a wasteful number, since it uses less digits than its factorization.

164827321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4697 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 164827321344 in words is "one hundred sixty-four billion, eight hundred twenty-seven million, three hundred twenty-one thousand, three hundred forty-four".