214133242331412 has 144 divisors (see below), whose sum is σ = 567823185558720. Its totient is φ = 67970762620416.

The previous prime is 214133242331347. The next prime is 214133242331419.

214133242331412 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 3 + 3 + 2 + 4 + 233 + 1 + 412 = 666.

214133242331412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×214133242331412² (a number of 29 digits) contains 22 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 (214133242331419) 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 47 ways as a sum of consecutive naturals, for example, 11837808 + ... + 23841144.

It is an arithmetic number, because the mean of its divisors is an integer number (3943216566380).

Almost surely, 2^{214133242331412} 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 214133242331412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283911592779360).

214133242331412 is an abundant number, since it is smaller than the sum of its proper divisors (353689943227308).

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

214133242331412 is a wasteful number, since it uses less digits than its factorization.

214133242331412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12003670 (or 12003665 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 214133242331412 in words is "two hundred fourteen trillion, one hundred thirty-three billion, two hundred forty-two million, three hundred thirty-one thousand, four hundred twelve".