162741344203008 has 216 divisors, whose sum is σ = 486673161208416. Its totient is φ = 54239188377600.

The previous prime is 162741344203007. The next prime is 162741344203013. The reversal of 162741344203008 is 800302443147261.

162741344203008 is a `hidden beast` number, since 1 + 6 + 27 + 413 + 4 + 4 + 203 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×162741344203008² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (162741344203001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433464328 + ... + 433839608.

It is an arithmetic number, because the mean of its divisors is an integer number (2253116487076).

Almost surely, 2^{162741344203008} is an apocalyptic number.

162741344203008 is a gapful number since it is divisible by the number (18) 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 162741344203008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243336580604208).

162741344203008 is an abundant number, since it is smaller than the sum of its proper divisors (323931817005408).

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

162741344203008 is an frugal number, since it uses more digits than its factorization.

162741344203008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382283 (or 382257 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 162741344203008 in words is "one hundred sixty-two trillion, seven hundred forty-one billion, three hundred forty-four million, two hundred three thousand, eight".