162162201667216 has 80 divisors (see below), whose sum is σ = 336501542455920. Its totient is φ = 75433403105280.

The previous prime is 162162201667163. The next prime is 162162201667273. The reversal of 162162201667216 is 612766102261261.

It can be written as a sum of positive squares in 8 ways, for example, as 241666627216 + 161920535040000 = 491596^2 + 12724800^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 162162201667216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87123586 + ... + 88965406.

It is an arithmetic number, because the mean of its divisors is an integer number (4206269280699).

Almost surely, 2^{162162201667216} is an apocalyptic number.

162162201667216 is a gapful number since it is divisible by the number (16) 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 162162201667216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168250771227960).

162162201667216 is an abundant number, since it is smaller than the sum of its proper divisors (174339340788704).

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

162162201667216 is a wasteful number, since it uses less digits than its factorization.

162162201667216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845572 (or 1845566 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 162162201667216 in words is "one hundred sixty-two trillion, one hundred sixty-two billion, two hundred one million, six hundred sixty-seven thousand, two hundred sixteen".