162433180900 has 81 divisors (see below), whose sum is σ = 361654669243. Its totient is φ = 63324073600.

The previous prime is 162433180883. The next prime is 162433180963. The reversal of 162433180900 is 9081334261.

The square root of 162433180900 is 403030.

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 68370744484 + 94062436416 = 261478^2 + 306696^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 162433180900.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 165241809 + ... + 165242791.

Almost surely, 2^162433180900 is an apocalyptic number.

162433180900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

162433180900 is the 403030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162433180900

162433180900 is an abundant number, since it is smaller than the sum of its proper divisors (199221488343).

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

162433180900 is an frugal number, since it uses more digits than its factorization.

162433180900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 162433180900 in words is "one hundred sixty-two billion, four hundred thirty-three million, one hundred eighty thousand, nine hundred".