54344844345 has 96 divisors (see below), whose sum is σ = 98867220480. Its totient is φ = 25445059200.

The previous prime is 54344844343. The next prime is 54344844391.

54344844345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54344844345 - 2¹ = 54344844343 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54344844294 and 54344844303.

It is not an unprimeable number, because it can be changed into a prime (54344844341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41579182 + ... + 41580488.

It is an arithmetic number, because the mean of its divisors is an integer number (1029866880).

Almost surely, 2^54344844345 is an apocalyptic number.

54344844345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54344844345 is a deficient number, since it is larger than the sum of its proper divisors (44522376135).

54344844345 is a wasteful number, since it uses less digits than its factorization.

54344844345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2096 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 48.

The spelling of 54344844345 in words is "fifty-four billion, three hundred forty-four million, eight hundred forty-four thousand, three hundred forty-five".