51414216112314 has 80 divisors (see below), whose sum is σ = 125693302949280. Its totient is φ = 15578316563040.

The previous prime is 51414216112309. The next prime is 51414216112321. The reversal of 51414216112314 is 41321161241415.

51414216112314 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 4 + 2 + 1 + 611 + 2 + 31 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14303697 + ... + 17533515.

It is an arithmetic number, because the mean of its divisors is an integer number (1571166286866).

Almost surely, 2^{51414216112314} is an apocalyptic number.

51414216112314 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

51414216112314 is an abundant number, since it is smaller than the sum of its proper divisors (74279086836966).

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

51414216112314 is a wasteful number, since it uses less digits than its factorization.

51414216112314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238777 (or 3238768 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

Adding to 51414216112314 its reverse (41321161241415), we get a palindrome (92735377353729).

The spelling of 51414216112314 in words is "fifty-one trillion, four hundred fourteen billion, two hundred sixteen million, one hundred twelve thousand, three hundred fourteen".