165671792784 has 135 divisors (see below), whose sum is σ = 469505679097. Its totient is φ = 54535239552.

The previous prime is 165671792771. The next prime is 165671792791. The reversal of 165671792784 is 487297176561.

The square root of 165671792784 is 407028.

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., 9273690000 + 156398102784 = 96300^2 + 395472^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 522623794 + ... + 522624110.

Almost surely, 2^165671792784 is an apocalyptic number.

165671792784 is the 407028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165671792784

165671792784 is an abundant number, since it is smaller than the sum of its proper divisors (303833886313).

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

165671792784 is an equidigital number, since it uses as much as digits as its factorization.

165671792784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 429 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 165671792784 in words is "one hundred sixty-five billion, six hundred seventy-one million, seven hundred ninety-two thousand, seven hundred eighty-four".