214124742216 has 320 divisors, whose sum is σ = 749917111680. Its totient is φ = 55454699520.

The previous prime is 214124742211. The next prime is 214124742217. The reversal of 214124742216 is 612247421412.

214124742216 is a `hidden beast` number, since 21 + 412 + 4 + 7 + 4 + 2 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (214124742211) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 17607210 + ... + 17619366.

It is an arithmetic number, because the mean of its divisors is an integer number (2343490974).

Almost surely, 2^214124742216 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 214124742216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374958555840).

214124742216 is an abundant number, since it is smaller than the sum of its proper divisors (535792369464).

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

214124742216 is a wasteful number, since it uses less digits than its factorization.

214124742216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12546 (or 12533 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The spelling of 214124742216 in words is "two hundred fourteen billion, one hundred twenty-four million, seven hundred forty-two thousand, two hundred sixteen".