514061508114 has 768 divisors, whose sum is σ = 1583765913600. Its totient is φ = 118879488000.

The previous prime is 514061508053. The next prime is 514061508133. The reversal of 514061508114 is 411805160415.

514061508114 is a `hidden beast` number, since 5 + 140 + 6 + 1 + 508 + 1 + 1 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1896905799 + ... + 1896906069.

It is an arithmetic number, because the mean of its divisors is an integer number (2062195200).

Almost surely, 2^514061508114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514061508114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791882956800).

514061508114 is an abundant number, since it is smaller than the sum of its proper divisors (1069704405486).

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

514061508114 is a wasteful number, since it uses less digits than its factorization.

514061508114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Adding to 514061508114 its reverse (411805160415), we get a palindrome (925866668529).

The spelling of 514061508114 in words is "five hundred fourteen billion, sixty-one million, five hundred eight thousand, one hundred fourteen".