211348983533688 has 1728 divisors, whose sum is σ = 824811975187200. Its totient is φ = 48363833548800.

The previous prime is 211348983533687. The next prime is 211348983533711. The reversal of 211348983533688 is 886335389843112.

211348983533688 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 4 + 8 + 9 + 8 + 3 + 533 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211348983533687) 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 431 ways as a sum of consecutive naturals, for example, 12558609658 + ... + 12558626486.

It is an arithmetic number, because the mean of its divisors is an integer number (477321744900).

Almost surely, 2^{211348983533688} is an apocalyptic number.

211348983533688 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 211348983533688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412405987593600).

211348983533688 is an abundant number, since it is smaller than the sum of its proper divisors (613462991653512).

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

211348983533688 is a wasteful number, since it uses less digits than its factorization.

211348983533688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16994 (or 16969 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 72.

The spelling of 211348983533688 in words is "two hundred eleven trillion, three hundred forty-eight billion, nine hundred eighty-three million, five hundred thirty-three thousand, six hundred eighty-eight".