54444155144445 has 64 divisors (see below), whose sum is σ = 105670456519680. Its totient is φ = 26376718132800.

The previous prime is 54444155144303. The next prime is 54444155144447.

It is a happy number.

54444155144445 is a `hidden beast` number, since 5 + 4 + 4 + 4 + 4 + 1 + 55 + 144 + 445 = 666.

54444155144445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54444155144445 - 2¹⁰ = 54444155143421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54444155144391 and 54444155144400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54444155144447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12282219 + ... + 16116488.

It is an arithmetic number, because the mean of its divisors is an integer number (1651100883120).

Almost surely, 2^{54444155144445} is an apocalyptic number.

54444155144445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54444155144445 is a deficient number, since it is larger than the sum of its proper divisors (51226301375235).

54444155144445 is a wasteful number, since it uses less digits than its factorization.

54444155144445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28400023 (or 28400017 counting only the distinct ones).

The product of its digits is 40960000, while the sum is 54.

The spelling of 54444155144445 in words is "fifty-four trillion, four hundred forty-four billion, one hundred fifty-five million, one hundred forty-four thousand, four hundred forty-five".