164536365216 has 96 divisors (see below), whose sum is σ = 441447874560. Its totient is φ = 53635894016.

The previous prime is 164536365199. The next prime is 164536365221. The reversal of 164536365216 is 612563635461.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5937505 + ... + 5965151.

It is an arithmetic number, because the mean of its divisors is an integer number (4598415360).

Almost surely, 2^164536365216 is an apocalyptic number.

164536365216 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 164536365216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220723937280).

164536365216 is an abundant number, since it is smaller than the sum of its proper divisors (276911509344).

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

164536365216 is a wasteful number, since it uses less digits than its factorization.

164536365216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29026 (or 29018 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 48.

The spelling of 164536365216 in words is "one hundred sixty-four billion, five hundred thirty-six million, three hundred sixty-five thousand, two hundred sixteen".