211388094254764 has 96 divisors (see below), whose sum is σ = 449841885825024. Its totient is φ = 84847936942080.

The previous prime is 211388094254737. The next prime is 211388094254773. The reversal of 211388094254764 is 467452490883112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211388094254696 and 211388094254705.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151533819 + ... + 152922445.

It is an arithmetic number, because the mean of its divisors is an integer number (4685852977344).

It is a 1-persistent number, because it is pandigital, but 2⋅211388094254764 = 422776188509528 is not.

Almost surely, 2^{211388094254764} 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 211388094254764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224920942912512).

211388094254764 is an abundant number, since it is smaller than the sum of its proper divisors (238453791570260).

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

211388094254764 is a wasteful number, since it uses less digits than its factorization.

211388094254764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390223 (or 1390221 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 64.

The spelling of 211388094254764 in words is "two hundred eleven trillion, three hundred eighty-eight billion, ninety-four million, two hundred fifty-four thousand, seven hundred sixty-four".