164351216262160 has 80 divisors (see below), whose sum is σ = 385992575519040. Its totient is φ = 65076861888000.

The previous prime is 164351216262139. The next prime is 164351216262199. The reversal of 164351216262160 is 61262612153461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×164351216262160² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164351216262160.

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, 21833775 + ... + 28379854.

It is an arithmetic number, because the mean of its divisors is an integer number (4824907193988).

Almost surely, 2^{164351216262160} is an apocalyptic number.

164351216262160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164351216262160 is an abundant number, since it is smaller than the sum of its proper divisors (221641359256880).

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

164351216262160 is a wasteful number, since it uses less digits than its factorization.

164351216262160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50214056 (or 50214050 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 164351216262160 in words is "one hundred sixty-four trillion, three hundred fifty-one billion, two hundred sixteen million, two hundred sixty-two thousand, one hundred sixty".