164427006016 has 189 divisors, whose sum is σ = 411737532759. Its totient is φ = 64931263488.

The previous prime is 164427006001. The next prime is 164427006017. The reversal of 164427006016 is 610600724461.

The square root of 164427006016 is 405496.

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 96910180416 + 67516825600 = 311304^2 + 259840^2 .

It is a super-3 number, since 3×164427006016³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164427006017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 295200810 + ... + 295201366.

Almost surely, 2^164427006016 is an apocalyptic number.

164427006016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

164427006016 is the 405496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164427006016

164427006016 is an abundant number, since it is smaller than the sum of its proper divisors (247310526743).

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

164427006016 is an frugal number, since it uses more digits than its factorization.

164427006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 164427006016 in words is "one hundred sixty-four billion, four hundred twenty-seven million, six thousand, sixteen".