162018185472 has 756 divisors, whose sum is σ = 574009725744. Its totient is φ = 45222727680.

The previous prime is 162018185437. The next prime is 162018185477. The reversal of 162018185472 is 274581810261.

162018185472 is a `hidden beast` number, since 1 + 6 + 20 + 1 + 81 + 8 + 547 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (162018185477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 346933783 + ... + 346934249.

It is an arithmetic number, because the mean of its divisors is an integer number (759272124).

Almost surely, 2^162018185472 is an apocalyptic number.

162018185472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162018185472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287004862872).

162018185472 is an abundant number, since it is smaller than the sum of its proper divisors (411991540272).

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

162018185472 is an equidigital number, since it uses as much as digits as its factorization.

162018185472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 162018185472 in words is "one hundred sixty-two billion, eighteen million, one hundred eighty-five thousand, four hundred seventy-two".