54285434658224 has 320 divisors, whose sum is σ = 140223085148160. Its totient is φ = 19729661952000.

The previous prime is 54285434658193. The next prime is 54285434658277. The reversal of 54285434658224 is 42285643458245.

It is a Cunningham number, because it is equal to 7367865²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3728131904 + ... + 3728146464.

It is an arithmetic number, because the mean of its divisors is an integer number (438197141088).

Almost surely, 2^{54285434658224} 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 54285434658224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70111542574080).

54285434658224 is an abundant number, since it is smaller than the sum of its proper divisors (85937650489936).

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

54285434658224 is a wasteful number, since it uses less digits than its factorization.

54285434658224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17860 (or 17854 counting only the distinct ones).

The product of its digits is 294912000, while the sum is 62.

The spelling of 54285434658224 in words is "fifty-four trillion, two hundred eighty-five billion, four hundred thirty-four million, six hundred fifty-eight thousand, two hundred twenty-four".