211263782112 has 36 divisors (see below), whose sum is σ = 600781381200. Its totient is φ = 70421260608.

The previous prime is 211263782111. The next prime is 211263782131. The reversal of 211263782112 is 211287362112.

211263782112 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 637 + 8 + 2 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×211263782112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211263782111) 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 5 ways as a sum of consecutive naturals, for example, 366777112 + ... + 366777687.

It is an arithmetic number, because the mean of its divisors is an integer number (16688371700).

Almost surely, 2^211263782112 is an apocalyptic number.

It is an amenable number.

211263782112 is an abundant number, since it is smaller than the sum of its proper divisors (389517599088).

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

211263782112 is a wasteful number, since it uses less digits than its factorization.

211263782112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733554815 (or 733554804 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The spelling of 211263782112 in words is "two hundred eleven billion, two hundred sixty-three million, seven hundred eighty-two thousand, one hundred twelve".