164467184674576 has 225 divisors, whose sum is σ = 378491043683861. Its totient is φ = 69228778555776.

The previous prime is 164467184674561. The next prime is 164467184674603. The reversal of 164467184674576 is 675476481764461.

It is a happy number.

The square root of 164467184674576 is 12824476.

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

It can be written as a sum of positive squares in only one way, i.e., 2658608514576 + 161808576160000 = 1630524^2 + 12720400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 148302239910 + ... + 148302241018.

Almost surely, 2^{164467184674576} is an apocalyptic number.

164467184674576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

164467184674576 is the 12824476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164467184674576

164467184674576 is an abundant number, since it is smaller than the sum of its proper divisors (214023859009285).

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

164467184674576 is an frugal number, since it uses more digits than its factorization.

164467184674576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 1177 counting only the distinct ones).

The product of its digits is 4551966720, while the sum is 76.

The spelling of 164467184674576 in words is "one hundred sixty-four trillion, four hundred sixty-seven billion, one hundred eighty-four million, six hundred seventy-four thousand, five hundred seventy-six".