211425388416 has 384 divisors, whose sum is σ = 705683197440. Its totient is φ = 60122050560.

The previous prime is 211425388387. The next prime is 211425388441. The reversal of 211425388416 is 614883524112.

211425388416 is a `hidden beast` number, since 21 + 1 + 4 + 2 + 538 + 84 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15440325 + ... + 15454011.

It is an arithmetic number, because the mean of its divisors is an integer number (1837716660).

Almost surely, 2^211425388416 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 211425388416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352841598720).

211425388416 is an abundant number, since it is smaller than the sum of its proper divisors (494257809024).

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

211425388416 is a wasteful number, since it uses less digits than its factorization.

211425388416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13794 (or 13779 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 211425388416 in words is "two hundred eleven billion, four hundred twenty-five million, three hundred eighty-eight thousand, four hundred sixteen".