48394825776576 has 1344 divisors, whose sum is σ = 160687048704000. Its totient is φ = 14399415152640.

The previous prime is 48394825776559. The next prime is 48394825776611. The reversal of 48394825776576 is 67567752849384.

48394825776576 is a `hidden beast` number, since 4 + 8 + 3 + 9 + 482 + 5 + 7 + 7 + 65 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 48394825776495 and 48394825776504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 381061620225 + ... + 381061620351.

It is an arithmetic number, because the mean of its divisors is an integer number (119558816000).

Almost surely, 2^{48394825776576} 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 48394825776576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80343524352000).

48394825776576 is an abundant number, since it is smaller than the sum of its proper divisors (112292222927424).

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

48394825776576 is an equidigital number, since it uses as much as digits as its factorization.

48394825776576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 241 counting only the distinct ones).

The product of its digits is 17069875200, while the sum is 81.

The spelling of 48394825776576 in words is "forty-eight trillion, three hundred ninety-four billion, eight hundred twenty-five million, seven hundred seventy-six thousand, five hundred seventy-six".