211321145961072 has 240 divisors, whose sum is σ = 682615017556992. Its totient is φ = 59776978060800.

The previous prime is 211321145961049. The next prime is 211321145961091. The reversal of 211321145961072 is 270169541123112.

211321145961072 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 21 + 1 + 4 + 5 + 9 + 610 + 7 + 2 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3675952713 + ... + 3676010199.

Almost surely, 2^{211321145961072} 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 211321145961072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341307508778496).

211321145961072 is an abundant number, since it is smaller than the sum of its proper divisors (471293871595920).

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

211321145961072 is a wasteful number, since it uses less digits than its factorization.

211321145961072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93716 (or 93707 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 211321145961072 in words is "two hundred eleven trillion, three hundred twenty-one billion, one hundred forty-five million, nine hundred sixty-one thousand, seventy-two".