162817600000000 has 1053 divisors, whose sum is σ = 463315198817653. Its totient is φ = 57164800000000.

The previous prime is 162817599999983. The next prime is 162817600000067. The reversal of 162817600000000 is 6718261.

The square root of 162817600000000 is 12760000.

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

It can be written as a sum of positive squares in 13 ways, for example, as 9365362642944 + 153452237357056 = 3060288^2 + 12387584^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 162817599999899 and 162817599999908.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5614399999986 + ... + 5614400000014.

Almost surely, 2^{162817600000000} is an apocalyptic number.

162817600000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

162817600000000 is the 12760000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162817600000000

162817600000000 is an abundant number, since it is smaller than the sum of its proper divisors (300497598817653).

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

162817600000000 is an frugal number, since it uses more digits than its factorization.

162817600000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

Adding to 162817600000000 its reverse (6718261), we get a palindrome (162817606718261).

The spelling of 162817600000000 in words is "one hundred sixty-two trillion, eight hundred seventeen billion, six hundred million", and thus it is an aban number.