54384955948345 has 64 divisors (see below), whose sum is σ = 75757179972096. Its totient is φ = 37041489838080.

The previous prime is 54384955948291. The next prime is 54384955948399.

54384955948345 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (54384955948291) and next prime (54384955948399).

It is not a de Polignac number, because 54384955948345 - 2¹⁹ = 54384955424057 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225035644 + ... + 225277186.

It is an arithmetic number, because the mean of its divisors is an integer number (1183705937064).

Almost surely, 2^{54384955948345} is an apocalyptic number.

54384955948345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54384955948345 is a deficient number, since it is larger than the sum of its proper divisors (21372224023751).

54384955948345 is a wasteful number, since it uses less digits than its factorization.

54384955948345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242770.

The product of its digits is 7464960000, while the sum is 76.

The spelling of 54384955948345 in words is "fifty-four trillion, three hundred eighty-four billion, nine hundred fifty-five million, nine hundred forty-eight thousand, three hundred forty-five".