48580456617 has 192 divisors, whose sum is σ = 93078720000. Its totient is φ = 24502832640.

The previous prime is 48580456609. The next prime is 48580456619. The reversal of 48580456617 is 71665408584.

48580456617 is a `hidden beast` number, since 4 + 8 + 580 + 4 + 56 + 6 + 1 + 7 = 666.

It is not a de Polignac number, because 48580456617 - 2³ = 48580456609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48580456619) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 180596359 + ... + 180596627.

It is an arithmetic number, because the mean of its divisors is an integer number (484785000).

Almost surely, 2^48580456617 is an apocalyptic number.

It is an amenable number.

48580456617 is a deficient number, since it is larger than the sum of its proper divisors (44498263383).

48580456617 is a wasteful number, since it uses less digits than its factorization.

48580456617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 48580456617 in words is "forty-eight billion, five hundred eighty million, four hundred fifty-six thousand, six hundred seventeen".