54746124048 has 640 divisors, whose sum is σ = 201587097600. Its totient is φ = 13815360000.

The previous prime is 54746123989. The next prime is 54746124067. The reversal of 54746124048 is 84042164745.

54746124048 is a `hidden beast` number, since 547 + 4 + 61 + 2 + 4 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54746123994 and 54746124012.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 218111923 + ... + 218112173.

It is an arithmetic number, because the mean of its divisors is an integer number (314979840).

Almost surely, 2^54746124048 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 54746124048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100793548800).

54746124048 is an abundant number, since it is smaller than the sum of its proper divisors (146840973552).

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

54746124048 is a wasteful number, since it uses less digits than its factorization.

54746124048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 54746124048 in words is "fifty-four billion, seven hundred forty-six million, one hundred twenty-four thousand, forty-eight".