12214546344 has 864 divisors, whose sum is σ = 47683883520. Its totient is φ = 2794176000.

The previous prime is 12214546339. The next prime is 12214546349. The reversal of 12214546344 is 44364541221.

12214546344 is a `hidden beast` number, since 1 + 2 + 2 + 14 + 5 + 4 + 634 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12214546339) and next prime (12214546349).

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

It is a junction number, because it is equal to n+sod(n) for n = 12214546299 and 12214546308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12214546349) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 172035829 + ... + 172035899.

It is an arithmetic number, because the mean of its divisors is an integer number (55189680).

Almost surely, 2^12214546344 is an apocalyptic number.

12214546344 is a gapful number since it is divisible by the number (14) 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 12214546344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23841941760).

12214546344 is an abundant number, since it is smaller than the sum of its proper divisors (35469337176).

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

12214546344 is a wasteful number, since it uses less digits than its factorization.

12214546344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 12214546344 in words is "twelve billion, two hundred fourteen million, five hundred forty-six thousand, three hundred forty-four".