54648918245376 has 3648 divisors, whose sum is σ = 231347972136960. Its totient is φ = 12556739543040.

The previous prime is 54648918245357. The next prime is 54648918245381. The reversal of 54648918245376 is 67354281984645.

54648918245376 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 8 + 9 + 1 + 8 + 245 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1393459200) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1762868330481 + ... + 1762868330511.

It is an arithmetic number, because the mean of its divisors is an integer number (63417755520).

Almost surely, 2^{54648918245376} is an apocalyptic number.

54648918245376 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 54648918245376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115673986068480).

54648918245376 is an abundant number, since it is smaller than the sum of its proper divisors (176699053891584).

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

54648918245376 is a wasteful number, since it uses less digits than its factorization.

54648918245376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 96 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 54648918245376 in words is "fifty-four trillion, six hundred forty-eight billion, nine hundred eighteen million, two hundred forty-five thousand, three hundred seventy-six".