54344144144345 has 32 divisors (see below), whose sum is σ = 71850814801920. Its totient is φ = 39130308568000.

The previous prime is 54344144144233. The next prime is 54344144144351.

54344144144345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54344144144345 - 2¹⁰ = 54344144143321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54344144144293 and 54344144144302.

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, 5644715 + ... + 11855424.

It is an arithmetic number, because the mean of its divisors is an integer number (2245337962560).

Almost surely, 2^{54344144144345} is an apocalyptic number.

54344144144345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54344144144345 is a deficient number, since it is larger than the sum of its proper divisors (17506670657575).

54344144144345 is a wasteful number, since it uses less digits than its factorization.

54344144144345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17500717.

The product of its digits is 14745600, while the sum is 50.

It can be divided in two parts, 5434414 and 4144345, that added together give a palindrome (9578759).

The spelling of 54344144144345 in words is "fifty-four trillion, three hundred forty-four billion, one hundred forty-four million, one hundred forty-four thousand, three hundred forty-five".