51414441116544 has 1536 divisors, whose sum is σ = 178202994278400. Its totient is φ = 14603253350400.

The previous prime is 51414441116543. The next prime is 51414441116551. The reversal of 51414441116544 is 44561114441415.

51414441116544 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 4 + 441 + 1 + 165 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 51414441116544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51414441116543) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118740048552 + ... + 118740048984.

It is an arithmetic number, because the mean of its divisors is an integer number (116017574400).

Almost surely, 2^{51414441116544} is an apocalyptic number.

51414441116544 is a gapful number since it is divisible by the number (54) 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 51414441116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89101497139200).

51414441116544 is an abundant number, since it is smaller than the sum of its proper divisors (126788553161856).

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

51414441116544 is a wasteful number, since it uses less digits than its factorization.

51414441116544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 742 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

Adding to 51414441116544 its reverse (44561114441415), we get a palindrome (95975555557959).

The spelling of 51414441116544 in words is "fifty-one trillion, four hundred fourteen billion, four hundred forty-one million, one hundred sixteen thousand, five hundred forty-four".