48755618496 has 840 divisors, whose sum is σ = 172104253200. Its totient is φ = 13586227200.

The previous prime is 48755618491. The next prime is 48755618501. The reversal of 48755618496 is 69481655784.

48755618496 is a `hidden beast` number, since 4 + 8 + 7 + 5 + 5 + 618 + 4 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (48755618491) and next prime (48755618501).

It is a super-2 number, since 2×48755618496² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48755618491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 482728846 + ... + 482728946.

Almost surely, 2^48755618496 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 48755618496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86052126600).

48755618496 is an abundant number, since it is smaller than the sum of its proper divisors (123348634704).

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

48755618496 is a wasteful number, since it uses less digits than its factorization.

48755618496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 167 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 48755618496 in words is "forty-eight billion, seven hundred fifty-five million, six hundred eighteen thousand, four hundred ninety-six".