164384348352 has 336 divisors, whose sum is σ = 531117169920. Its totient is φ = 43833968640.

The previous prime is 164384348339. The next prime is 164384348407. The reversal of 164384348352 is 253843483461.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×164384348352² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164384348295 and 164384348304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128726338 + ... + 128727614.

Almost surely, 2^164384348352 is an apocalyptic number.

164384348352 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 164384348352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265558584960).

164384348352 is an abundant number, since it is smaller than the sum of its proper divisors (366732821568).

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

164384348352 is a wasteful number, since it uses less digits than its factorization.

164384348352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1379 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 51.

The spelling of 164384348352 in words is "one hundred sixty-four billion, three hundred eighty-four million, three hundred forty-eight thousand, three hundred fifty-two".