164958728827876 has 27 divisors (see below), whose sum is σ = 289105142363163. Its totient is φ = 82357439872320.

The previous prime is 164958728827829. The next prime is 164958728827903. The reversal of 164958728827876 is 678728827859461.

The square root of 164958728827876 is 12843626.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3220768622500 + 161737960205376 = 1794650^2 + 12717624^2 .

It is a super-2 number, since 2×164958728827876² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18828751336 + ... + 18828760096.

Almost surely, 2^{164958728827876} is an apocalyptic number.

164958728827876 is the 12843626-th square number.

It is an amenable number.

164958728827876 is a deficient number, since it is larger than the sum of its proper divisors (124146413535287).

164958728827876 is an frugal number, since it uses more digits than its factorization.

164958728827876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18992 (or 9496 counting only the distinct ones).

The product of its digits is 36415733760, while the sum is 88.

The spelling of 164958728827876 in words is "one hundred sixty-four trillion, nine hundred fifty-eight billion, seven hundred twenty-eight million, eight hundred twenty-seven thousand, eight hundred seventy-six".