51846444464815 has 128 divisors (see below), whose sum is σ = 84385746708480. Its totient is φ = 29529840384000.

The previous prime is 51846444464813. The next prime is 51846444464827.

51846444464815 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51846444464815 - 2¹ = 51846444464813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51846444464813) 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 127 ways as a sum of consecutive naturals, for example, 2035655901 + ... + 2035681369.

It is an arithmetic number, because the mean of its divisors is an integer number (659263646160).

Almost surely, 2^{51846444464815} is an apocalyptic number.

51846444464815 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51846444464815 is a deficient number, since it is larger than the sum of its proper divisors (32539302243665).

51846444464815 is a wasteful number, since it uses less digits than its factorization.

51846444464815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29633.

The product of its digits is 235929600, while the sum is 64.

The spelling of 51846444464815 in words is "fifty-one trillion, eight hundred forty-six billion, four hundred forty-four million, four hundred sixty-four thousand, eight hundred fifteen".