211022240149728 has 1536 divisors, whose sum is σ = 780872240332800. Its totient is φ = 54057657139200.

The previous prime is 211022240149727. The next prime is 211022240149901. The reversal of 211022240149728 is 827941042220112.

211022240149728 is a `hidden beast` number, since 2 + 1 + 10 + 222 + 401 + 4 + 9 + 7 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211022240149727) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 99963163393 + ... + 99963165503.

It is an arithmetic number, because the mean of its divisors is an integer number (508380364800).

Almost surely, 2^{211022240149728} is an apocalyptic number.

211022240149728 is a gapful number since it is divisible by the number (28) 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 211022240149728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390436120166400).

211022240149728 is an abundant number, since it is smaller than the sum of its proper divisors (569850000183072).

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

211022240149728 is a wasteful number, since it uses less digits than its factorization.

211022240149728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 211022240149728 in words is "two hundred eleven trillion, twenty-two billion, two hundred forty million, one hundred forty-nine thousand, seven hundred twenty-eight".