211145836032 has 240 divisors, whose sum is σ = 651639935232. Its totient is φ = 65583513600.

The previous prime is 211145835991. The next prime is 211145836039. The reversal of 211145836032 is 230638541112.

211145836032 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 45 + 8 + 3 + 603 + 2 = 666.

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 (211145836039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7898593 + ... + 7925279.

Almost surely, 2^211145836032 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 211145836032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325819967616).

211145836032 is an abundant number, since it is smaller than the sum of its proper divisors (440494099200).

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

211145836032 is a wasteful number, since it uses less digits than its factorization.

211145836032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26829 (or 26810 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 211145836032 in words is "two hundred eleven billion, one hundred forty-five million, eight hundred thirty-six thousand, thirty-two".