162989838400 has 63 divisors (see below), whose sum is σ = 401096611191. Its totient is φ = 65189475840.

The previous prime is 162989838383. The next prime is 162989838467. The reversal of 162989838400 is 4838989261.

The square root of 162989838400 is 403720.

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 2836201536 + 160153636864 = 53256^2 + 400192^2 .

It is a super-2 number, since 2×162989838400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 16143754 + ... + 16153846.

Almost surely, 2^162989838400 is an apocalyptic number.

162989838400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

162989838400 is the 403720-th square number.

It is an amenable number.

162989838400 is an abundant number, since it is smaller than the sum of its proper divisors (238106772791).

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

162989838400 is an frugal number, since it uses more digits than its factorization.

162989838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20208 (or 10100 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 58.

The spelling of 162989838400 in words is "one hundred sixty-two billion, nine hundred eighty-nine million, eight hundred thirty-eight thousand, four hundred".