54656441224 has 192 divisors, whose sum is σ = 133102569600. Its totient is φ = 20798668800.

The previous prime is 54656441159. The next prime is 54656441239. The reversal of 54656441224 is 42214465645.

54656441224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71074312 + ... + 71075080.

It is an arithmetic number, because the mean of its divisors is an integer number (693242550).

Almost surely, 2^54656441224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54656441224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66551284800).

54656441224 is an abundant number, since it is smaller than the sum of its proper divisors (78446128376).

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

54656441224 is a wasteful number, since it uses less digits than its factorization.

54656441224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1153 counting only the distinct ones).

The product of its digits is 921600, while the sum is 43.

The spelling of 54656441224 in words is "fifty-four billion, six hundred fifty-six million, four hundred forty-one thousand, two hundred twenty-four".