211841111268864 has 1920 divisors, whose sum is σ = 803839638970368. Its totient is φ = 54100575682560.

The previous prime is 211841111268833. The next prime is 211841111268901. The reversal of 211841111268864 is 468862111148112.

It is a happy number.

211841111268864 is a `hidden beast` number, since 2 + 118 + 411 + 11 + 26 + 8 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 211841111268864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 209122518022 + ... + 209122519034.

Almost surely, 2^{211841111268864} is an apocalyptic number.

211841111268864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211841111268864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401919819485184).

211841111268864 is an abundant number, since it is smaller than the sum of its proper divisors (591998527701504).

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

211841111268864 is a wasteful number, since it uses less digits than its factorization.

211841111268864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1382 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 54.

The spelling of 211841111268864 in words is "two hundred eleven trillion, eight hundred forty-one billion, one hundred eleven million, two hundred sixty-eight thousand, eight hundred sixty-four".