211121114568 has 256 divisors, whose sum is σ = 666356544000. Its totient is φ = 54258647040.

The previous prime is 211121114551. The next prime is 211121114569. The reversal of 211121114568 is 865411121112.

It is not an unprimeable number, because it can be changed into a prime (211121114569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17240928 + ... + 17253168.

It is an arithmetic number, because the mean of its divisors is an integer number (2602955250).

Almost surely, 2^211121114568 is an apocalyptic number.

211121114568 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 211121114568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333178272000).

211121114568 is an abundant number, since it is smaller than the sum of its proper divisors (455235429432).

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

211121114568 is a wasteful number, since it uses less digits than its factorization.

211121114568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12472 (or 12468 counting only the distinct ones).

The product of its digits is 3840, while the sum is 33.

The spelling of 211121114568 in words is "two hundred eleven billion, one hundred twenty-one million, one hundred fourteen thousand, five hundred sixty-eight".