211468738328064 has 400 divisors, whose sum is σ = 732113297845248. Its totient is φ = 59517848383488.

The previous prime is 211468738328059. The next prime is 211468738328119. The reversal of 211468738328064 is 460823837864112.

211468738328064 is a `hidden beast` number, since 2 + 1 + 1 + 46 + 87 + 383 + 2 + 80 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 211468738327992 and 211468738328010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14014257 + ... + 24886479.

Almost surely, 2^{211468738328064} is an apocalyptic number.

211468738328064 is a gapful number since it is divisible by the number (24) 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 211468738328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366056648922624).

211468738328064 is an abundant number, since it is smaller than the sum of its proper divisors (520644559517184).

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

211468738328064 is an equidigital number, since it uses as much as digits as its factorization.

211468738328064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10872327 (or 10872302 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 211468738328064 in words is "two hundred eleven trillion, four hundred sixty-eight billion, seven hundred thirty-eight million, three hundred twenty-eight thousand, sixty-four".