54200461314016 has 192 divisors, whose sum is σ = 111884618926080. Its totient is φ = 25822587248640.

The previous prime is 54200461313959. The next prime is 54200461314017. The reversal of 54200461314016 is 61041316400245.

54200461314016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54200461314017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9820700505 + ... + 9820706023.

It is an arithmetic number, because the mean of its divisors is an integer number (582732390240).

Almost surely, 2^{54200461314016} 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 54200461314016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55942309463040).

54200461314016 is an abundant number, since it is smaller than the sum of its proper divisors (57684157612064).

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

54200461314016 is a wasteful number, since it uses less digits than its factorization.

54200461314016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6361 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 54200461314016 in words is "fifty-four trillion, two hundred billion, four hundred sixty-one million, three hundred fourteen thousand, sixteen".