51346433464315 has 64 divisors (see below), whose sum is σ = 71209206964224. Its totient is φ = 35191635840000.

The previous prime is 51346433464301. The next prime is 51346433464357.

51346433464315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51346433464315 - 2⁵ = 51346433464283 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian 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 63 ways as a sum of consecutive naturals, for example, 37139754 + ... + 38497456.

It is an arithmetic number, because the mean of its divisors is an integer number (1112643858816).

Almost surely, 2^{51346433464315} is an apocalyptic number.

51346433464315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51346433464315 is a deficient number, since it is larger than the sum of its proper divisors (19862773499909).

51346433464315 is a wasteful number, since it uses less digits than its factorization.

51346433464315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358332.

The product of its digits is 18662400, while the sum is 52.

It can be divided in two parts, 5134643 and 3464315, that added together give a palindrome (8598958).

The spelling of 51346433464315 in words is "fifty-one trillion, three hundred forty-six billion, four hundred thirty-three million, four hundred sixty-four thousand, three hundred fifteen".