54323444432345 has 32 divisors (see below), whose sum is σ = 73567600704000. Its totient is φ = 38145068980480.

The previous prime is 54323444432339. The next prime is 54323444432473.

It is a happy number.

54323444432345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54323444432345 - 2⁶ = 54323444432281 is a prime.

It is a super-3 number, since 3×54323444432345³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 54323444432293 and 54323444432302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134159051 + ... + 134563359.

It is an arithmetic number, because the mean of its divisors is an integer number (2298987522000).

Almost surely, 2^{54323444432345} is an apocalyptic number.

54323444432345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54323444432345 is a deficient number, since it is larger than the sum of its proper divisors (19244156271655).

54323444432345 is a wasteful number, since it uses less digits than its factorization.

54323444432345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488593.

The product of its digits is 33177600, while the sum is 50.

It can be divided in two parts, 5432344 and 4432345, that added together give a palindrome (9864689).

The spelling of 54323444432345 in words is "fifty-four trillion, three hundred twenty-three billion, four hundred forty-four million, four hundred thirty-two thousand, three hundred forty-five".