514414335322230 has 192 divisors, whose sum is σ = 1514272086720000. Its totient is φ = 111206009521152.

The previous prime is 514414335322079. The next prime is 514414335322243. The reversal of 514414335322230 is 32223533414415.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1356126 + ... + 32104014.

It is an arithmetic number, because the mean of its divisors is an integer number (7886833785000).

Almost surely, 2^{514414335322230} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514414335322230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757136043360000).

514414335322230 is an abundant number, since it is smaller than the sum of its proper divisors (999857751397770).

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

514414335322230 is a wasteful number, since it uses less digits than its factorization.

514414335322230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30748531 (or 30748524 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

Adding to 514414335322230 its reverse (32223533414415), we get a palindrome (546637868736645).

The spelling of 514414335322230 in words is "five hundred fourteen trillion, four hundred fourteen billion, three hundred thirty-five million, three hundred twenty-two thousand, two hundred thirty".