165147955456 has 81 divisors (see below), whose sum is σ = 362500437733. Its totient is φ = 75034741760.

The previous prime is 165147955439. The next prime is 165147955459. The reversal of 165147955456 is 654559741561.

The square root of 165147955456 is 406384.

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., 137777561856 + 27370393600 = 371184^2 + 165440^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 165147955456.

It is not an unprimeable number, because it can be changed into a prime (165147955459) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71522430 + ... + 71524738.

Almost surely, 2^165147955456 is an apocalyptic number.

165147955456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

165147955456 is the 406384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165147955456

165147955456 is an abundant number, since it is smaller than the sum of its proper divisors (197352482277).

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

165147955456 is an frugal number, since it uses more digits than its factorization.

165147955456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4656 (or 2322 counting only the distinct ones).

The product of its digits is 22680000, while the sum is 58.

The spelling of 165147955456 in words is "one hundred sixty-five billion, one hundred forty-seven million, nine hundred fifty-five thousand, four hundred fifty-six".