165381348964624 has 45 divisors (see below), whose sum is σ = 346971962411343. Its totient is φ = 76329544726656.

The previous prime is 165381348964613. The next prime is 165381348964627. The reversal of 165381348964624 is 426469843183561.

The square root of 165381348964624 is 12860068.

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 42367341360400 + 123014007604224 = 6509020^2 + 11091168^2 .

It is a super-2 number, since 2×165381348964624² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165381348964627) 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, 668599882 + ... + 668847190.

Almost surely, 2^{165381348964624} is an apocalyptic number.

165381348964624 is the 12860068-th square number.

It is an amenable number.

165381348964624 is an abundant number, since it is smaller than the sum of its proper divisors (181590613446719).

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

165381348964624 is an frugal number, since it uses more digits than its factorization.

165381348964624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494652 (or 247324 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 70.

The spelling of 165381348964624 in words is "one hundred sixty-five trillion, three hundred eighty-one billion, three hundred forty-eight million, nine hundred sixty-four thousand, six hundred twenty-four".