211438117644 has 192 divisors, whose sum is σ = 566658892800. Its totient is φ = 60786819072.

The previous prime is 211438117637. The next prime is 211438117669. The reversal of 211438117644 is 446711834112.

It is a super-2 number, since 2×211438117644² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211438117596 and 211438117605.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 320846587 + ... + 320847245.

It is an arithmetic number, because the mean of its divisors is an integer number (2951348400).

Almost surely, 2^211438117644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211438117644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283329446400).

211438117644 is an abundant number, since it is smaller than the sum of its proper divisors (355220775156).

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

211438117644 is a wasteful number, since it uses less digits than its factorization.

211438117644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1390 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The spelling of 211438117644 in words is "two hundred eleven billion, four hundred thirty-eight million, one hundred seventeen thousand, six hundred forty-four".