165382115584 has 81 divisors (see below), whose sum is σ = 384120846711. Its totient is φ = 70858529280.

The previous prime is 165382115527. The next prime is 165382115623. The reversal of 165382115584 is 485511283561.

The square root of 165382115584 is 406672.

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

It is a super-2 number, since 2×165382115584² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 45545449 + ... + 45549079.

Almost surely, 2^165382115584 is an apocalyptic number.

165382115584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

165382115584 is the 406672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165382115584

165382115584 is an abundant number, since it is smaller than the sum of its proper divisors (218738731127).

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

165382115584 is an frugal number, since it uses more digits than its factorization.

165382115584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7292 (or 3640 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 49.

Multiplying 165382115584 by its sum of digits (49), we get a square (8103723663616 = 2846704²).

165382115584 divided by its sum of digits (49) gives a square (3375145216 = 58096²).

The spelling of 165382115584 in words is "one hundred sixty-five billion, three hundred eighty-two million, one hundred fifteen thousand, five hundred eighty-four".