54648311328000 has 3456 divisors, whose sum is σ = 235327141969920. Its totient is φ = 12047848243200.

The previous prime is 54648311327971. The next prime is 54648311328001. The reversal of 54648311328000 is 82311384645.

54648311328000 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 8 + 311 + 328 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54648311328001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 207788255869 + ... + 207788256131.

It is an arithmetic number, because the mean of its divisors is an integer number (68092344320).

Almost surely, 2^{54648311328000} is an apocalyptic number.

54648311328000 is a gapful number since it is divisible by the number (50) 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 54648311328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117663570984960).

54648311328000 is an abundant number, since it is smaller than the sum of its proper divisors (180678830641920).

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

54648311328000 is a wasteful number, since it uses less digits than its factorization.

54648311328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 54648311328000 in words is "fifty-four trillion, six hundred forty-eight billion, three hundred eleven million, three hundred twenty-eight thousand".