211421317968 has 240 divisors, whose sum is σ = 731749165056. Its totient is φ = 57779568000.

The previous prime is 211421317967. The next prime is 211421317969. The reversal of 211421317968 is 869713124112.

211421317968 is a `hidden beast` number, since 211 + 421 + 3 + 1 + 7 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (211421317967) and next prime (211421317969).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211421317967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457093 + ... + 794843.

Almost surely, 2^211421317968 is an apocalyptic number.

211421317968 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 211421317968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365874582528).

211421317968 is an abundant number, since it is smaller than the sum of its proper divisors (520327847088).

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

211421317968 is a wasteful number, since it uses less digits than its factorization.

211421317968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337804 (or 337786 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 211421317968 in words is "two hundred eleven billion, four hundred twenty-one million, three hundred seventeen thousand, nine hundred sixty-eight".