162008073216 has 528 divisors, whose sum is σ = 534918764800. Its totient is φ = 48392847360.

The previous prime is 162008073191. The next prime is 162008073217. The reversal of 162008073216 is 612370800261.

162008073216 is a `hidden beast` number, since 1 + 620 + 0 + 8 + 0 + 7 + 3 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is not an unprimeable number, because it can be changed into a prime (162008073217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264286926 + ... + 264287538.

Almost surely, 2^162008073216 is an apocalyptic number.

162008073216 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 162008073216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267459382400).

162008073216 is an abundant number, since it is smaller than the sum of its proper divisors (372910691584).

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

162008073216 is a wasteful number, since it uses less digits than its factorization.

162008073216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 162008073216 its reverse (612370800261), we get a palindrome (774378873477).

The spelling of 162008073216 in words is "one hundred sixty-two billion, eight million, seventy-three thousand, two hundred sixteen".