54118252224 has 224 divisors, whose sum is σ = 166332042240. Its totient is φ = 17222160384.

The previous prime is 54118252213. The next prime is 54118252229. The reversal of 54118252224 is 42225281145.

54118252224 is a `hidden beast` number, since 54 + 1 + 1 + 82 + 522 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54118252229) 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 31 ways as a sum of consecutive naturals, for example, 28892952 + ... + 28894824.

It is an arithmetic number, because the mean of its divisors is an integer number (742553760).

Almost surely, 2^54118252224 is an apocalyptic number.

54118252224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54118252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83166021120).

54118252224 is an abundant number, since it is smaller than the sum of its proper divisors (112213790016).

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

54118252224 is a wasteful number, since it uses less digits than its factorization.

54118252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2628 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The spelling of 54118252224 in words is "fifty-four billion, one hundred eighteen million, two hundred fifty-two thousand, two hundred twenty-four".