165053687824 has 45 divisors (see below), whose sum is σ = 326891631261. Its totient is φ = 80733576960.

The previous prime is 165053687809. The next prime is 165053687849. The reversal of 165053687824 is 428786350561.

It is a happy number.

The square root of 165053687824 is 406268.

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

165053687824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 103470302224 + 61583385600 = 321668^2 + 248160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 76377304 + ... + 76379464.

Almost surely, 2^165053687824 is an apocalyptic number.

165053687824 is the 406268-th square number.

It is an amenable number.

165053687824 is a deficient number, since it is larger than the sum of its proper divisors (161837943437).

165053687824 is an frugal number, since it uses more digits than its factorization.

165053687824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 55.

The spelling of 165053687824 in words is "one hundred sixty-five billion, fifty-three million, six hundred eighty-seven thousand, eight hundred twenty-four".