162816252544 has 192 divisors, whose sum is σ = 373058217000. Its totient is φ = 70635192320.

The previous prime is 162816252541. The next prime is 162816252563. The reversal of 162816252544 is 445252618261.

It can be written as a sum of positive squares in 4 ways, for example, as 83567246400 + 79249006144 = 289080^2 + 281512^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 162816252494 and 162816252503.

It is not an unprimeable number, because it can be changed into a prime (162816252541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39972492 + ... + 39976564.

Almost surely, 2^162816252544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162816252544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186529108500).

162816252544 is an abundant number, since it is smaller than the sum of its proper divisors (210241964456).

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

162816252544 is a wasteful number, since it uses less digits than its factorization.

162816252544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4204 counting only the distinct ones).

The product of its digits is 921600, while the sum is 46.

The spelling of 162816252544 in words is "one hundred sixty-two billion, eight hundred sixteen million, two hundred fifty-two thousand, five hundred forty-four".