54354445345 has 8 divisors (see below), whose sum is σ = 65958203880. Its totient is φ = 42994976640.

The previous prime is 54354445309. The next prime is 54354445363.

54354445345 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 4555845009 + 49798600336 = 67497^2 + 223156^2 .

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

It is not a de Polignac number, because 54354445345 - 2⁷ = 54354445217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54354445295 and 54354445304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61071966 + ... + 61072855.

It is an arithmetic number, because the mean of its divisors is an integer number (8244775485).

Almost surely, 2^54354445345 is an apocalyptic number.

It is an amenable number.

54354445345 is a deficient number, since it is larger than the sum of its proper divisors (11603758535).

54354445345 is a wasteful number, since it uses less digits than its factorization.

54354445345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122144915.

The product of its digits is 5760000, while the sum is 46.

The spelling of 54354445345 in words is "fifty-four billion, three hundred fifty-four million, four hundred forty-five thousand, three hundred forty-five".