214413303314412 has 72 divisors (see below), whose sum is σ = 548406003966912. Its totient is φ = 70627643424000.

The previous prime is 214413303314401. The next prime is 214413303314429.

214413303314412 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 1 + 330 + 3 + 314 + 4 + 1 + 2 = 666.

214413303314412 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54698308 + ... + 58487019.

It is an arithmetic number, because the mean of its divisors is an integer number (7616750055096).

Almost surely, 2^{214413303314412} is an apocalyptic number.

It is an amenable number.

214413303314412 is an abundant number, since it is smaller than the sum of its proper divisors (333992700652500).

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

214413303314412 is a wasteful number, since it uses less digits than its factorization.

214413303314412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113185959 (or 113185954 counting only the distinct ones).

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

It can be divided in two parts, 21441330 and 3314412, that added together give a palindrome (24755742).

The spelling of 214413303314412 in words is "two hundred fourteen trillion, four hundred thirteen billion, three hundred three million, three hundred fourteen thousand, four hundred twelve".