54300355300345 has 48 divisors (see below), whose sum is σ = 81877364682624. Its totient is φ = 33840083692800.

The previous prime is 54300355300297. The next prime is 54300355300349.

54300355300345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54300355300345 - 2²⁹ = 54299818429433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54300355300298 and 54300355300307.

It is not an unprimeable number, because it can be changed into a prime (54300355300349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13327917 + ... + 16918453.

It is an arithmetic number, because the mean of its divisors is an integer number (1705778430888).

Almost surely, 2^{54300355300345} is an apocalyptic number.

54300355300345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54300355300345 is a deficient number, since it is larger than the sum of its proper divisors (27577009382279).

54300355300345 is a wasteful number, since it uses less digits than its factorization.

54300355300345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594142 (or 3594131 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 40.

The spelling of 54300355300345 in words is "fifty-four trillion, three hundred billion, three hundred fifty-five million, three hundred thousand, three hundred forty-five".