211966149276 has 144 divisors (see below), whose sum is σ = 627662939904. Its totient is φ = 59051801088.

The previous prime is 211966149253. The next prime is 211966149301. The reversal of 211966149276 is 672941669112.

211966149276 is a `hidden beast` number, since 2 + 1 + 1 + 96 + 61 + 492 + 7 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6409255 + ... + 6442241.

It is an arithmetic number, because the mean of its divisors is an integer number (4358770416).

Almost surely, 2^211966149276 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 211966149276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313831469952).

211966149276 is an abundant number, since it is smaller than the sum of its proper divisors (415696790628).

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

211966149276 is a wasteful number, since it uses less digits than its factorization.

211966149276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33640 (or 33635 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 211966149276 in words is "two hundred eleven billion, nine hundred sixty-six million, one hundred forty-nine thousand, two hundred seventy-six".