54224644642245 has 256 divisors, whose sum is σ = 126112437043200. Its totient is φ = 21434701559040.

The previous prime is 54224644642243. The next prime is 54224644642261.

54224644642245 is a `hidden beast` number, since 5 + 42 + 24 + 64 + 464 + 22 + 45 = 666.

54224644642245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54224644642245 - 2¹ = 54224644642243 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54224644642191 and 54224644642200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54224644642241) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 42162694 + ... + 43429736.

It is an arithmetic number, because the mean of its divisors is an integer number (492626707200).

Almost surely, 2^{54224644642245} is an apocalyptic number.

54224644642245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54224644642245 is an abundant number, since it is smaller than the sum of its proper divisors (71887792400955).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54224644642245 is a wasteful number, since it uses less digits than its factorization.

54224644642245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267277 (or 1267271 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 54.

The spelling of 54224644642245 in words is "fifty-four trillion, two hundred twenty-four billion, six hundred forty-four million, six hundred forty-two thousand, two hundred forty-five".