214051341504 has 896 divisors, whose sum is σ = 806980091904. Its totient is φ = 48273408000.

The previous prime is 214051341499. The next prime is 214051341523. The reversal of 214051341504 is 405143150412.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 220443739 + ... + 220444709.

It is an arithmetic number, because the mean of its divisors is an integer number (900647424).

Almost surely, 2^214051341504 is an apocalyptic number.

214051341504 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 214051341504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403490045952).

214051341504 is an abundant number, since it is smaller than the sum of its proper divisors (592928750400).

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

214051341504 is a wasteful number, since it uses less digits than its factorization.

214051341504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 214051341504 its reverse (405143150412), we get a palindrome (619194491916).

It can be divided in two parts, 214051 and 341504, that added together give a palindrome (555555).

The spelling of 214051341504 in words is "two hundred fourteen billion, fifty-one million, three hundred forty-one thousand, five hundred four".