214314031104 has 192 divisors, whose sum is σ = 606706420320. Its totient is φ = 67043328000.

The previous prime is 214314031091. The next prime is 214314031157. The reversal of 214314031104 is 401130413412.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38956354 + ... + 38961854.

Almost surely, 2^214314031104 is an apocalyptic number.

214314031104 is a gapful number since it is divisible by the number (24) 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 214314031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303353210160).

214314031104 is an abundant number, since it is smaller than the sum of its proper divisors (392392389216).

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

214314031104 is a wasteful number, since it uses less digits than its factorization.

214314031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5916 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 214314031104 its reverse (401130413412), we get a palindrome (615444444516).

The spelling of 214314031104 in words is "two hundred fourteen billion, three hundred fourteen million, thirty-one thousand, one hundred four".