51444000044415 has 72 divisors (see below), whose sum is σ = 101689202461392. Its totient is φ = 23858086855680.

The previous prime is 51444000044413. The next prime is 51444000044443.

51444000044415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51444000044415 - 2¹ = 51444000044413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 51444000044415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51444000044413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97968082 + ... + 98491791.

It is an arithmetic number, because the mean of its divisors is an integer number (1412350034186).

Almost surely, 2^{51444000044415} is an apocalyptic number.

51444000044415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51444000044415 is a deficient number, since it is larger than the sum of its proper divisors (50245202416977).

51444000044415 is a wasteful number, since it uses less digits than its factorization.

51444000044415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196459941 (or 196459915 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 514440000 and 44415, that added together give a palindrome (514484415).

The spelling of 51444000044415 in words is "fifty-one trillion, four hundred forty-four billion, forty-four thousand, four hundred fifteen".