211884131328 has 176 divisors, whose sum is σ = 605237308800. Its totient is φ = 65730576384.

The previous prime is 211884131321. The next prime is 211884131339. The reversal of 211884131328 is 823131488112.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 211884131328.

It is not an unprimeable number, because it can be changed into a prime (211884131321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2573748 + ... + 2654796.

Almost surely, 2^211884131328 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 211884131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302618654400).

211884131328 is an abundant number, since it is smaller than the sum of its proper divisors (393353177472).

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

211884131328 is a wasteful number, since it uses less digits than its factorization.

211884131328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81132 (or 81114 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The spelling of 211884131328 in words is "two hundred eleven billion, eight hundred eighty-four million, one hundred thirty-one thousand, three hundred twenty-eight".