54355055055345 has 64 divisors (see below), whose sum is σ = 105522240430080. Its totient is φ = 26327372068800.

The previous prime is 54355055055319. The next prime is 54355055055349.

54355055055345 is a `hidden beast` number, since 5 + 4 + 3 + 5 + 5 + 0 + 550 + 55 + 34 + 5 = 666.

54355055055345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54355055055345 - 2⁵ = 54355055055313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54355055055291 and 54355055055300.

It is not an unprimeable number, because it can be changed into a prime (54355055055349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16995939 + ... + 19939208.

It is an arithmetic number, because the mean of its divisors is an integer number (1648785006720).

Almost surely, 2^{54355055055345} is an apocalyptic number.

54355055055345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54355055055345 is a deficient number, since it is larger than the sum of its proper divisors (51167185374735).

54355055055345 is a wasteful number, since it uses less digits than its factorization.

54355055055345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36936163 (or 36936157 counting only the distinct ones).

The product of its (nonzero) digits is 56250000, while the sum is 54.

The spelling of 54355055055345 in words is "fifty-four trillion, three hundred fifty-five billion, fifty-five million, fifty-five thousand, three hundred forty-five".