211321144416 has 48 divisors (see below), whose sum is σ = 563811757488. Its totient is φ = 69285619200.

The previous prime is 211321144369. The next prime is 211321144423. The reversal of 211321144416 is 614441123112.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18037275 + ... + 18048986.

It is an arithmetic number, because the mean of its divisors is an integer number (11746078281).

Almost surely, 2^211321144416 is an apocalyptic number.

It is an amenable number.

211321144416 is an abundant number, since it is smaller than the sum of its proper divisors (352490613072).

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

211321144416 is a wasteful number, since it uses less digits than its factorization.

211321144416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36086335 (or 36086327 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

Adding to 211321144416 its reverse (614441123112), we get a palindrome (825762267528).

The spelling of 211321144416 in words is "two hundred eleven billion, three hundred twenty-one million, one hundred forty-four thousand, four hundred sixteen".