214550254314 has 192 divisors, whose sum is σ = 534451027968. Its totient is φ = 61611580800.

The previous prime is 214550254297. The next prime is 214550254333. The reversal of 214550254314 is 413452055412.

214550254314 is a `hidden beast` number, since 2 + 1 + 45 + 50 + 254 + 314 = 666.

It is a super-3 number, since 3×214550254314³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145852599 + ... + 145854069.

It is an arithmetic number, because the mean of its divisors is an integer number (2783599104).

Almost surely, 2^214550254314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214550254314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267225513984).

214550254314 is an abundant number, since it is smaller than the sum of its proper divisors (319900773654).

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

214550254314 is a wasteful number, since it uses less digits than its factorization.

214550254314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

It can be divided in two parts, 214550 and 254314, that added together give a palindrome (468864).

The spelling of 214550254314 in words is "two hundred fourteen billion, five hundred fifty million, two hundred fifty-four thousand, three hundred fourteen".