211545651144 has 128 divisors (see below), whose sum is σ = 564623136000. Its totient is φ = 65818558464.

The previous prime is 211545651143. The next prime is 211545651151. The reversal of 211545651144 is 441156545112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (211545651143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24568312 + ... + 24576920.

It is an arithmetic number, because the mean of its divisors is an integer number (4411118250).

Almost surely, 2^211545651144 is an apocalyptic number.

211545651144 is a gapful number since it is divisible by the number (24) 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 211545651144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282311568000).

211545651144 is an abundant number, since it is smaller than the sum of its proper divisors (353077484856).

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

211545651144 is a wasteful number, since it uses less digits than its factorization.

211545651144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9127 (or 9123 counting only the distinct ones).

The product of its digits is 96000, while the sum is 39.

The spelling of 211545651144 in words is "two hundred eleven billion, five hundred forty-five million, six hundred fifty-one thousand, one hundred forty-four".