54833580648 has 576 divisors, whose sum is σ = 199250513280. Its totient is φ = 13288366080.

The previous prime is 54833580623. The next prime is 54833580649. The reversal of 54833580648 is 84608533845.

54833580648 is a `hidden beast` number, since 54 + 8 + 3 + 3 + 580 + 6 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54833580594 and 54833580603.

It is not an unprimeable number, because it can be changed into a prime (54833580649) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 235337140 + ... + 235337372.

It is an arithmetic number, because the mean of its divisors is an integer number (345921030).

Almost surely, 2^54833580648 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 54833580648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99625256640).

54833580648 is an abundant number, since it is smaller than the sum of its proper divisors (144416932632).

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

54833580648 is a wasteful number, since it uses less digits than its factorization.

54833580648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 500 counting only the distinct ones).

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

The spelling of 54833580648 in words is "fifty-four billion, eight hundred thirty-three million, five hundred eighty thousand, six hundred forty-eight".