211432000032 has 192 divisors, whose sum is σ = 673105144320. Its totient is φ = 64035360000.

The previous prime is 211431999953. The next prime is 211432000081. The reversal of 211432000032 is 230000234112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211431999969 and 211432000014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21388563 + ... + 21398445.

It is an arithmetic number, because the mean of its divisors is an integer number (3505755960).

Almost surely, 2^211432000032 is an apocalyptic number.

211432000032 is a gapful number since it is divisible by the number (22) 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 211432000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336552572160).

211432000032 is an abundant number, since it is smaller than the sum of its proper divisors (461673144288).

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

211432000032 is a wasteful number, since it uses less digits than its factorization.

211432000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12164 (or 12150 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 211432000032 its reverse (230000234112), we get a palindrome (441432234144).

The spelling of 211432000032 in words is "two hundred eleven billion, four hundred thirty-two million, thirty-two", and thus it is an aban number.