164859141812480 has 72 divisors (see below), whose sum is σ = 394904287575000. Its totient is φ = 65941131051008.

The previous prime is 164859141812441. The next prime is 164859141812513. The reversal of 164859141812480 is 84218141958461.

It can be written as a sum of positive squares in 4 ways, for example, as 92681747562496 + 72177394249984 = 9627136^2 + 8495728^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31145366 + ... + 36052074.

It is an arithmetic number, because the mean of its divisors is an integer number (5484781771875).

Almost surely, 2^{164859141812480} is an apocalyptic number.

164859141812480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164859141812480 is an abundant number, since it is smaller than the sum of its proper divisors (230045145762520).

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

164859141812480 is an equidigital number, since it uses as much as digits as its factorization.

164859141812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932979 (or 4932965 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 62.

The spelling of 164859141812480 in words is "one hundred sixty-four trillion, eight hundred fifty-nine billion, one hundred forty-one million, eight hundred twelve thousand, four hundred eighty".