211142084161008 has 1280 divisors, whose sum is σ = 805324455936000. Its totient is φ = 45822059458560.

The previous prime is 211142084161003. The next prime is 211142084161033. The reversal of 211142084161008 is 800161480241112.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211142084161003) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20304070593 + ... + 20304080991.

It is an arithmetic number, because the mean of its divisors is an integer number (629159731200).

Almost surely, 2^{211142084161008} is an apocalyptic number.

211142084161008 is a gapful number since it is divisible by the number (28) 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 211142084161008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402662227968000).

211142084161008 is an abundant number, since it is smaller than the sum of its proper divisors (594182371774992).

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

211142084161008 is a wasteful number, since it uses less digits than its factorization.

211142084161008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11450 (or 11444 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The spelling of 211142084161008 in words is "two hundred eleven trillion, one hundred forty-two billion, eighty-four million, one hundred sixty-one thousand, eight".