214653123464112 has 320 divisors, whose sum is σ = 629572974750720. Its totient is φ = 70006070937600.

The previous prime is 214653123464111. The next prime is 214653123464147. The reversal of 214653123464112 is 211464321356412.

214653123464112 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 53 + 1 + 23 + 464 + 112 = 666.

It is not an unprimeable number, because it can be changed into a prime (214653123464111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17871372187 + ... + 17871384197.

It is an arithmetic number, because the mean of its divisors is an integer number (1967415546096).

Almost surely, 2^{214653123464112} 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 214653123464112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314786487375360).

214653123464112 is an abundant number, since it is smaller than the sum of its proper divisors (414919851286608).

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

214653123464112 is a wasteful number, since it uses less digits than its factorization.

214653123464112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16489 (or 16477 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 214653123464112 in words is "two hundred fourteen trillion, six hundred fifty-three billion, one hundred twenty-three million, four hundred sixty-four thousand, one hundred twelve".