162720918144 has 512 divisors, whose sum is σ = 513884160000. Its totient is φ = 51214851072.

The previous prime is 162720918127. The next prime is 162720918163. The reversal of 162720918144 is 441819027261.

162720918144 is a `hidden beast` number, since 1 + 627 + 2 + 0 + 9 + 1 + 8 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 162720918144.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 817692957 + ... + 817693155.

It is an arithmetic number, because the mean of its divisors is an integer number (1003680000).

Almost surely, 2^162720918144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162720918144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256942080000).

162720918144 is an abundant number, since it is smaller than the sum of its proper divisors (351163241856).

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

162720918144 is an equidigital number, since it uses as much as digits as its factorization.

162720918144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 162720918144 in words is "one hundred sixty-two billion, seven hundred twenty million, nine hundred eighteen thousand, one hundred forty-four".