164301332309856 has 1152 divisors, whose sum is σ = 581183701862400. Its totient is φ = 42992555950080.

The previous prime is 164301332309839. The next prime is 164301332309861. The reversal of 164301332309856 is 658903233103461.

164301332309856 is a `hidden beast` number, since 1 + 6 + 4 + 301 + 3 + 323 + 0 + 9 + 8 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35975765685 + ... + 35975770251.

It is an arithmetic number, because the mean of its divisors is an integer number (504499741200).

Almost surely, 2^{164301332309856} is an apocalyptic number.

164301332309856 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 164301332309856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290591850931200).

164301332309856 is an abundant number, since it is smaller than the sum of its proper divisors (416882369552544).

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

164301332309856 is a wasteful number, since it uses less digits than its factorization.

164301332309856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932 (or 4921 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 164301332309856 in words is "one hundred sixty-four trillion, three hundred one billion, three hundred thirty-two million, three hundred nine thousand, eight hundred fifty-six".