54312821345 has 16 divisors (see below), whose sum is σ = 70202944512. Its totient is φ = 40220431680.

The previous prime is 54312821333. The next prime is 54312821347.

54312821345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54312821345 - 2¹⁰ = 54312820321 is a prime.

It is a super-3 number, since 3×54312821345³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54312821299 and 54312821308.

It is not an unprimeable number, because it can be changed into a prime (54312821347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7613942 + ... + 7621071.

It is an arithmetic number, because the mean of its divisors is an integer number (4387684032).

Almost surely, 2^54312821345 is an apocalyptic number.

It is an amenable number.

54312821345 is a deficient number, since it is larger than the sum of its proper divisors (15890123167).

54312821345 is a wasteful number, since it uses less digits than its factorization.

54312821345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15235072.

The product of its digits is 115200, while the sum is 38.

The spelling of 54312821345 in words is "fifty-four billion, three hundred twelve million, eight hundred twenty-one thousand, three hundred forty-five".