162000810179712 has 1536 divisors, whose sum is σ = 593153094758400. Its totient is φ = 42620900474880.

The previous prime is 162000810179653. The next prime is 162000810179713. The reversal of 162000810179712 is 217971018000261.

It is a happy number.

162000810179712 is a `hidden beast` number, since 1 + 620 + 0 + 0 + 8 + 1 + 0 + 1 + 7 + 9 + 7 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (162000810179713) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66859598533 + ... + 66859600955.

It is an arithmetic number, because the mean of its divisors is an integer number (386167379400).

Almost surely, 2^{162000810179712} is an apocalyptic number.

162000810179712 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 162000810179712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296576547379200).

162000810179712 is an abundant number, since it is smaller than the sum of its proper divisors (431152284578688).

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

162000810179712 is a wasteful number, since it uses less digits than its factorization.

162000810179712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

Adding to 162000810179712 its reverse (217971018000261), we get a palindrome (379971828179973).

The spelling of 162000810179712 in words is "one hundred sixty-two trillion, eight hundred ten million, one hundred seventy-nine thousand, seven hundred twelve".