3213220014414 has 160 divisors (see below), whose sum is σ = 7561506940416. Its totient is φ = 1017912329280.

The previous prime is 3213220014331. The next prime is 3213220014419. The reversal of 3213220014414 is 4144100223123.

3213220014414 is a `hidden beast` number, since 3 + 2 + 1 + 32 + 200 + 14 + 414 = 666.

3213220014414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3213220014414² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213220014419) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 508659184 + ... + 508665500.

Almost surely, 2^{3213220014414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213220014414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780753470208).

3213220014414 is an abundant number, since it is smaller than the sum of its proper divisors (4348286926002).

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

3213220014414 is a wasteful number, since it uses less digits than its factorization.

3213220014414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7212 (or 7203 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3213220014414 its reverse (4144100223123), we get a palindrome (7357320237537).

The spelling of 3213220014414 in words is "three trillion, two hundred thirteen billion, two hundred twenty million, fourteen thousand, four hundred fourteen".