54346588564345 has 16 divisors (see below), whose sum is σ = 81308142891648. Its totient is φ = 33878392871040.

The previous prime is 54346588564339. The next prime is 54346588564417.

54346588564345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54346588564345 - 2⁵ = 54346588564313 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70579984764 + ... + 70579985533.

It is an arithmetic number, because the mean of its divisors is an integer number (5081758930728).

Almost surely, 2^{54346588564345} is an apocalyptic number.

54346588564345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54346588564345 is a deficient number, since it is larger than the sum of its proper divisors (26961554327303).

54346588564345 is a wasteful number, since it uses less digits than its factorization.

54346588564345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141159970320.

The product of its digits is 3317760000, while the sum is 70.

The spelling of 54346588564345 in words is "fifty-four trillion, three hundred forty-six billion, five hundred eighty-eight million, five hundred sixty-four thousand, three hundred forty-five".