211407360768 has 216 divisors, whose sum is σ = 667653386400. Its totient is φ = 64036503552.

The previous prime is 211407360737. The next prime is 211407360817. The reversal of 211407360768 is 867063704112.

211407360768 is a `hidden beast` number, since 21 + 14 + 0 + 7 + 3 + 607 + 6 + 8 = 666.

It is a super-3 number, since 3×211407360768³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1042813 + ... + 1228931.

It is an arithmetic number, because the mean of its divisors is an integer number (3090987900).

Almost surely, 2^211407360768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211407360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333826693200).

211407360768 is an abundant number, since it is smaller than the sum of its proper divisors (456246025632).

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

211407360768 is a wasteful number, since it uses less digits than its factorization.

211407360768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186187 (or 186170 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 211407360768 in words is "two hundred eleven billion, four hundred seven million, three hundred sixty thousand, seven hundred sixty-eight".