51444944944415 has 32 divisors (see below), whose sum is σ = 70976779891200. Its totient is φ = 35402251893120.

The previous prime is 51444944944409. The next prime is 51444944944507.

51444944944415 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-51444944944415 is a prime.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 29048600 + ... + 30768669.

It is an arithmetic number, because the mean of its divisors is an integer number (2218024371600).

Almost surely, 2^{51444944944415} is an apocalyptic number.

51444944944415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51444944944415 is a deficient number, since it is larger than the sum of its proper divisors (19531834946785).

51444944944415 is a wasteful number, since it uses less digits than its factorization.

51444944944415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59818127.

The product of its digits is 132710400, while the sum is 62.

The spelling of 51444944944415 in words is "fifty-one trillion, four hundred forty-four billion, nine hundred forty-four million, nine hundred forty-four thousand, four hundred fifteen".