211315032933264 has 480 divisors, whose sum is σ = 671168102492160. Its totient is φ = 63612791963136.

The previous prime is 211315032933233. The next prime is 211315032933313. The reversal of 211315032933264 is 462339230513112.

211315032933264 is a `hidden beast` number, since 2 + 1 + 1 + 31 + 5 + 0 + 3 + 293 + 326 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 623976109 + ... + 624314675.

It is an arithmetic number, because the mean of its divisors is an integer number (1398266880192).

Almost surely, 2^{211315032933264} is an apocalyptic number.

211315032933264 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 211315032933264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335584051246080).

211315032933264 is an abundant number, since it is smaller than the sum of its proper divisors (459853069558896).

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

211315032933264 is a wasteful number, since it uses less digits than its factorization.

211315032933264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338796 (or 338771 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 211315032933264 in words is "two hundred eleven trillion, three hundred fifteen billion, thirty-two million, nine hundred thirty-three thousand, two hundred sixty-four".