164601605376 has 432 divisors, whose sum is σ = 524915192256. Its totient is φ = 49296605184.

The previous prime is 164601605321. The next prime is 164601605411. The reversal of 164601605376 is 673506106461.

164601605376 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 0 + 1 + 605 + 37 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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, 181478715 + ... + 181479621.

Almost surely, 2^164601605376 is an apocalyptic number.

164601605376 is a gapful number since it is divisible by the number (16) 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 164601605376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262457596128).

164601605376 is an abundant number, since it is smaller than the sum of its proper divisors (360313586880).

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

164601605376 is a wasteful number, since it uses less digits than its factorization.

164601605376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 164601605376 in words is "one hundred sixty-four billion, six hundred one million, six hundred five thousand, three hundred seventy-six".