211207381632 has 256 divisors, whose sum is σ = 687684816000. Its totient is φ = 63401287680.

The previous prime is 211207381631. The next prime is 211207381691. The reversal of 211207381632 is 236183702112.

211207381632 is a `hidden beast` number, since 2 + 1 + 12 + 0 + 7 + 3 + 8 + 1 + 632 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (211207381631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1784719 + ... + 1899377.

Almost surely, 2^211207381632 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 211207381632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343842408000).

211207381632 is an abundant number, since it is smaller than the sum of its proper divisors (476477434368).

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

211207381632 is a wasteful number, since it uses less digits than its factorization.

211207381632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114736 (or 114718 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 211207381632 in words is "two hundred eleven billion, two hundred seven million, three hundred eighty-one thousand, six hundred thirty-two".