54382952448 has 432 divisors, whose sum is σ = 178508897280. Its totient is φ = 16349921280.

The previous prime is 54382952443. The next prime is 54382952461. The reversal of 54382952448 is 84425928345.

54382952448 is a `hidden beast` number, since 54 + 3 + 8 + 29 + 524 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×54382952448² (a number of 22 digits) contains 22 as substring.

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

Its product of digits (11059200) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 54382952394 and 54382952403.

It is not an unprimeable number, because it can be changed into a prime (54382952443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428212161 + ... + 428212287.

It is an arithmetic number, because the mean of its divisors is an integer number (413215040).

Almost surely, 2^54382952448 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 54382952448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89254448640).

54382952448 is an abundant number, since it is smaller than the sum of its proper divisors (124125944832).

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

54382952448 is an equidigital number, since it uses as much as digits as its factorization.

54382952448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 143 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 54382952448 in words is "fifty-four billion, three hundred eighty-two million, nine hundred fifty-two thousand, four hundred forty-eight".