162216648 has 128 divisors (see below), whose sum is σ = 499392000. Its totient is φ = 48375360.

The previous prime is 162216643. The next prime is 162216701. The reversal of 162216648 is 846612261.

162216648 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 1 + 6 + 648 = 666.

162216648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (162216643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158683 + ... + 159701.

It is an arithmetic number, because the mean of its divisors is an integer number (3901500).

Almost surely, 2^162216648 is an apocalyptic number.

162216648 is a gapful number since it is divisible by the number (18) 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 162216648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249696000).

162216648 is an abundant number, since it is smaller than the sum of its proper divisors (337175352).

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

162216648 is a wasteful number, since it uses less digits than its factorization.

162216648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1102 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 162216648 is about 12736.4299550541. The cubic root of 162216648 is about 545.3790791957.

The spelling of 162216648 in words is "one hundred sixty-two million, two hundred sixteen thousand, six hundred forty-eight".