165128449600 has 63 divisors (see below), whose sum is σ = 406359191217. Its totient is φ = 66044878080.

The previous prime is 165128449597. The next prime is 165128449613. The reversal of 165128449600 is 6944821561.

It is a happy number.

The square root of 165128449600 is 406360.

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., 59446241856 + 105682207744 = 243816^2 + 325088^2 .

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, 16249321 + ... + 16259479.

Almost surely, 2^165128449600 is an apocalyptic number.

165128449600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165128449600 is the 406360-th square number.

It is an amenable number.

165128449600 is an abundant number, since it is smaller than the sum of its proper divisors (241230741617).

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

165128449600 is an frugal number, since it uses more digits than its factorization.

165128449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20340 (or 10166 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 165128449600 in words is "one hundred sixty-five billion, one hundred twenty-eight million, four hundred forty-nine thousand, six hundred".