211468906616272 has 320 divisors, whose sum is σ = 492531018854400. Its totient is φ = 87196259082240.

The previous prime is 211468906616267. The next prime is 211468906616287. The reversal of 211468906616272 is 272616609864112.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a self number, because there is not a number n which added to its sum of digits gives 211468906616272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 427544373 + ... + 428038699.

It is an arithmetic number, because the mean of its divisors is an integer number (1539159433920).

Almost surely, 2^{211468906616272} 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 211468906616272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246265509427200).

211468906616272 is an abundant number, since it is smaller than the sum of its proper divisors (281062112238128).

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

211468906616272 is a wasteful number, since it uses less digits than its factorization.

211468906616272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494514 (or 494508 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

The spelling of 211468906616272 in words is "two hundred eleven trillion, four hundred sixty-eight billion, nine hundred six million, six hundred sixteen thousand, two hundred seventy-two".