54365456345 has 16 divisors (see below), whose sum is σ = 65900737728. Its totient is φ = 43051118400.

The previous prime is 54365456311. The next prime is 54365456351.

54365456345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54365456345 - 2³⁴ = 37185587161 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54365456293 and 54365456302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2507642 + ... + 2529228.

It is an arithmetic number, because the mean of its divisors is an integer number (4118796108).

Almost surely, 2^54365456345 is an apocalyptic number.

It is an amenable number.

54365456345 is a deficient number, since it is larger than the sum of its proper divisors (11535281383).

54365456345 is a wasteful number, since it uses less digits than its factorization.

54365456345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26680.

The product of its digits is 12960000, while the sum is 50.

The spelling of 54365456345 in words is "fifty-four billion, three hundred sixty-five million, four hundred fifty-six thousand, three hundred forty-five".