164053322352 has 80 divisors (see below), whose sum is σ = 471376987680. Its totient is φ = 54628328448.

The previous prime is 164053322351. The next prime is 164053322371. The reversal of 164053322352 is 253223350461.

164053322352 is a `hidden beast` number, since 1 + 640 + 5 + 3 + 3 + 2 + 2 + 3 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164053322351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227718 + ... + 616410.

It is an arithmetic number, because the mean of its divisors is an integer number (5892212346).

Almost surely, 2^164053322352 is an apocalyptic number.

164053322352 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 164053322352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235688493840).

164053322352 is an abundant number, since it is smaller than the sum of its proper divisors (307323665328).

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

164053322352 is a wasteful number, since it uses less digits than its factorization.

164053322352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389687 (or 389675 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 164053322352 in words is "one hundred sixty-four billion, fifty-three million, three hundred twenty-two thousand, three hundred fifty-two".