51461444416415 has 32 divisors (see below), whose sum is σ = 67782864994560. Its totient is φ = 37196102361600.

The previous prime is 51461444416351. The next prime is 51461444416433.

51461444416415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51461444416415 - 2⁶ = 51461444416351 is a prime.

It is a super-2 number, since 2×51461444416415² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15703175 + ... + 18695255.

It is an arithmetic number, because the mean of its divisors is an integer number (2118214531080).

Almost surely, 2^{51461444416415} is an apocalyptic number.

51461444416415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51461444416415 is a deficient number, since it is larger than the sum of its proper divisors (16321420578145).

51461444416415 is a wasteful number, since it uses less digits than its factorization.

51461444416415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994023.

The product of its digits is 3686400, while the sum is 50.

The spelling of 51461444416415 in words is "fifty-one trillion, four hundred sixty-one billion, four hundred forty-four million, four hundred sixteen thousand, four hundred fifteen".