211430753856 has 945 divisors, whose sum is σ = 785097670721. Its totient is φ = 54383357952.

The previous prime is 211430753843. The next prime is 211430753893. The reversal of 211430753856 is 658357034112.

It is a happy number.

The square root of 211430753856 is 459816.

It is a perfect power (a square), and thus also a powerful number.

211430753856 is a `hidden beast` number, since 21 + 1 + 43 + 0 + 7 + 538 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 164608718400 + 46822035456 = 405720^2 + 216384^2 .

It is a super-2 number, since 2×211430753856² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9192641461 + ... + 9192641483.

Almost surely, 2^211430753856 is an apocalyptic number.

211430753856 is the 459816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211430753856

211430753856 is an abundant number, since it is smaller than the sum of its proper divisors (573666916865).

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

211430753856 is an equidigital number, since it uses as much as digits as its factorization.

211430753856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

Adding to 211430753856 its reverse (658357034112), we get a palindrome (869787787968).

The spelling of 211430753856 in words is "two hundred eleven billion, four hundred thirty million, seven hundred fifty-three thousand, eight hundred fifty-six".