54833254414848 has 3840 divisors, whose sum is σ = 221967553167360. Its totient is φ = 13122038071296.

The previous prime is 54833254414843. The next prime is 54833254414859. The reversal of 54833254414848 is 84841445233845.

54833254414848 is a `hidden beast` number, since 5 + 4 + 8 + 3 + 3 + 2 + 544 + 1 + 4 + 84 + 8 = 666.

54833254414848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (54833254414843) 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 383 ways as a sum of consecutive naturals, for example, 660641619415 + ... + 660641619497.

It is an arithmetic number, because the mean of its divisors is an integer number (57804050304).

Almost surely, 2^{54833254414848} 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 54833254414848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110983776583680).

54833254414848 is an abundant number, since it is smaller than the sum of its proper divisors (167134298752512).

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

54833254414848 is a wasteful number, since it uses less digits than its factorization.

54833254414848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 233 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 63.

The spelling of 54833254414848 in words is "fifty-four trillion, eight hundred thirty-three billion, two hundred fifty-four million, four hundred fourteen thousand, eight hundred forty-eight".