54350144105345 has 16 divisors (see below), whose sum is σ = 71167842127872. Its totient is φ = 39517064991360.

The previous prime is 54350144105333. The next prime is 54350144105371.

54350144105345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54350144105345 - 2⁴⁰ = 53250632477569 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54350144105296 and 54350144105305.

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, 128694017 + ... + 129115646.

It is an arithmetic number, because the mean of its divisors is an integer number (4447990132992).

Almost surely, 2^{54350144105345} is an apocalyptic number.

54350144105345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54350144105345 is a deficient number, since it is larger than the sum of its proper divisors (16817698022527).

54350144105345 is a wasteful number, since it uses less digits than its factorization.

54350144105345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257813512.

The product of its (nonzero) digits is 1440000, while the sum is 44.

The spelling of 54350144105345 in words is "fifty-four trillion, three hundred fifty billion, one hundred forty-four million, one hundred five thousand, three hundred forty-five".