165212983296 has 351 divisors, whose sum is σ = 501110382279. Its totient is φ = 52443611136.

The previous prime is 165212983283. The next prime is 165212983297. The reversal of 165212983296 is 692389212561.

The square root of 165212983296 is 406464.

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

165212983296 is a `hidden beast` number, since 1 + 6 + 5 + 21 + 298 + 329 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1401753600 + 163811229696 = 37440^2 + 404736^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (165212983297) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2263191516 + ... + 2263191588.

Almost surely, 2^165212983296 is an apocalyptic number.

165212983296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

165212983296 is the 406464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165212983296

165212983296 is an abundant number, since it is smaller than the sum of its proper divisors (335897398983).

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

165212983296 is an frugal number, since it uses more digits than its factorization.

165212983296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 107 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 165212983296 in words is "one hundred sixty-five billion, two hundred twelve million, nine hundred eighty-three thousand, two hundred ninety-six".