54221081848416 has 576 divisors, whose sum is σ = 198930322483200. Its totient is φ = 14270227550208.

The previous prime is 54221081848411. The next prime is 54221081848421. The reversal of 54221081848416 is 61484818012245.

54221081848416 is a `hidden beast` number, since 5 + 4 + 2 + 210 + 8 + 1 + 8 + 4 + 8 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (54221081848411) and next prime (54221081848421).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54221081848411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33025005 + ... + 34627923.

It is an arithmetic number, because the mean of its divisors is an integer number (345365143200).

Almost surely, 2^{54221081848416} is an apocalyptic number.

54221081848416 is a gapful number since it is divisible by the number (56) 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 54221081848416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99465161241600).

54221081848416 is an abundant number, since it is smaller than the sum of its proper divisors (144709240634784).

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

54221081848416 is a wasteful number, since it uses less digits than its factorization.

54221081848416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603016 (or 1602995 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 54221081848416 in words is "fifty-four trillion, two hundred twenty-one billion, eighty-one million, eight hundred forty-eight thousand, four hundred sixteen".