5151442133214 has 256 divisors, whose sum is σ = 12589439385600. Its totient is φ = 1551924033408.

The previous prime is 5151442133191. The next prime is 5151442133219. The reversal of 5151442133214 is 4123312441515.

5151442133214 is a `hidden beast` number, since 5 + 1 + 5 + 14 + 421 + 3 + 3 + 214 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5151442133219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2928618867 + ... + 2928620625.

It is an arithmetic number, because the mean of its divisors is an integer number (49177497600).

Almost surely, 2^{5151442133214} is an apocalyptic number.

5151442133214 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5151442133214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294719692800).

5151442133214 is an abundant number, since it is smaller than the sum of its proper divisors (7437997252386).

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

5151442133214 is a wasteful number, since it uses less digits than its factorization.

5151442133214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2318 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 5151442133214 its reverse (4123312441515), we get a palindrome (9274754574729).

The spelling of 5151442133214 in words is "five trillion, one hundred fifty-one billion, four hundred forty-two million, one hundred thirty-three thousand, two hundred fourteen".