54945054945 has 128 divisors (see below), whose sum is σ = 110534837760. Its totient is φ = 25660800000.

The previous prime is 54945054919. The next prime is 54945054947.

It is a happy number.

54945054945 is a `hidden beast` number, since 5 + 4 + 9 + 4 + 50 + 549 + 45 = 666.

54945054945 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54945054945 - 2⁹ = 54945054433 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54945054891 and 54945054900.

It is not an unprimeable number, because it can be changed into a prime (54945054947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5544495 + ... + 5554395.

It is an arithmetic number, because the mean of its divisors is an integer number (863553420).

Almost surely, 2^54945054945 is an apocalyptic number.

54945054945 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54945054945 is an abundant number, since it is smaller than the sum of its proper divisors (55589782815).

54945054945 is a wasteful number, since it uses less digits than its factorization.

54945054945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10064 (or 10058 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 54945054945 in words is "fifty-four billion, nine hundred forty-five million, fifty-four thousand, nine hundred forty-five".