54354845345 has 8 divisors (see below), whose sum is σ = 65227332264. Its totient is φ = 43482864384.

The previous prime is 54354845341. The next prime is 54354845351.

54354845345 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 38014080784 + 16340764561 = 194972^2 + 127831^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 54354845345 - 2² = 54354845341 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54354845293 and 54354845302.

It is not an unprimeable number, because it can be changed into a prime (54354845341) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 175337 + ... + 373433.

It is an arithmetic number, because the mean of its divisors is an integer number (8153416533).

Almost surely, 2^54354845345 is an apocalyptic number.

It is an amenable number.

54354845345 is a deficient number, since it is larger than the sum of its proper divisors (10872486919).

54354845345 is a wasteful number, since it uses less digits than its factorization.

54354845345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252979.

The product of its digits is 11520000, while the sum is 50.

The spelling of 54354845345 in words is "fifty-four billion, three hundred fifty-four million, eight hundred forty-five thousand, three hundred forty-five".