211134185472 has 228 divisors, whose sum is σ = 655065149280. Its totient is φ = 60313042944.

The previous prime is 211134185443. The next prime is 211134185477. The reversal of 211134185472 is 274581431112.

It is a self number, because there is not a number n which added to its sum of digits gives 211134185472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211134185477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38532429 + ... + 38537907.

It is an arithmetic number, because the mean of its divisors is an integer number (2873092760).

Almost surely, 2^211134185472 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 211134185472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327532574640).

211134185472 is an abundant number, since it is smaller than the sum of its proper divisors (443930963808).

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

211134185472 is an frugal number, since it uses more digits than its factorization.

211134185472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5532 (or 5491 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The spelling of 211134185472 in words is "two hundred eleven billion, one hundred thirty-four million, one hundred eighty-five thousand, four hundred seventy-two".