162081341136 has 720 divisors, whose sum is σ = 571830150528. Its totient is φ = 42475530240.

The previous prime is 162081341077. The next prime is 162081341137. The reversal of 162081341136 is 631143180261.

162081341136 is a `hidden beast` number, since 1 + 6 + 208 + 1 + 3 + 411 + 36 = 666.

It is a super-2 number, since 2×162081341136² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 162081341136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162081341137) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 276117835 + ... + 276118421.

Almost surely, 2^162081341136 is an apocalyptic number.

162081341136 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 162081341136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285915075264).

162081341136 is an abundant number, since it is smaller than the sum of its proper divisors (409748809392).

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

162081341136 is a wasteful number, since it uses less digits than its factorization.

162081341136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 162081341136 in words is "one hundred sixty-two billion, eighty-one million, three hundred forty-one thousand, one hundred thirty-six".