164034415853568 has 768 divisors, whose sum is σ = 546868578634560. Its totient is φ = 46929304092672.

The previous prime is 164034415853521. The next prime is 164034415853591. The reversal of 164034415853568 is 865358514430461.

164034415853568 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 3 + 4 + 4 + 15 + 8 + 53 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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, 5409555655 + ... + 5409585977.

Almost surely, 2^{164034415853568} is an apocalyptic number.

164034415853568 is a gapful number since it is divisible by the number (18) 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 164034415853568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273434289317280).

164034415853568 is an abundant number, since it is smaller than the sum of its proper divisors (382834162780992).

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

164034415853568 is a wasteful number, since it uses less digits than its factorization.

164034415853568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30472 (or 30441 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 164034415853568 in words is "one hundred sixty-four trillion, thirty-four billion, four hundred fifteen million, eight hundred fifty-three thousand, five hundred sixty-eight".