214614416412 has 288 divisors, whose sum is σ = 635156121600. Its totient is φ = 60380928000.

The previous prime is 214614416371. The next prime is 214614416417.

214614416412 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 1 + 4 + 4 + 1 + 641 + 2 = 666.

214614416412 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×214614416412³ (a number of 35 digits) contains 333 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214614416417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 298489789 + ... + 298490507.

It is an arithmetic number, because the mean of its divisors is an integer number (2205403200).

Almost surely, 2^214614416412 is an apocalyptic number.

214614416412 is a gapful number since it is divisible by the number (22) 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 214614416412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317578060800).

214614416412 is an abundant number, since it is smaller than the sum of its proper divisors (420541705188).

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

214614416412 is a wasteful number, since it uses less digits than its factorization.

214614416412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1292 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 214614416412 in words is "two hundred fourteen billion, six hundred fourteen million, four hundred sixteen thousand, four hundred twelve".