48387459613248 has 1120 divisors, whose sum is σ = 171034385448960. Its totient is φ = 13234343915520.

The previous prime is 48387459613237. The next prime is 48387459613289. The reversal of 48387459613248 is 84231695478384.

48387459613248 is a `hidden beast` number, since 4 + 8 + 3 + 8 + 7 + 4 + 596 + 1 + 3 + 24 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 109226770915 + ... + 109226771357.

Almost surely, 2^{48387459613248} is an apocalyptic number.

48387459613248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48387459613248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85517192724480).

48387459613248 is an abundant number, since it is smaller than the sum of its proper divisors (122646925835712).

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

48387459613248 is a wasteful number, since it uses less digits than its factorization.

48387459613248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1138 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 48387459613248 in words is "forty-eight trillion, three hundred eighty-seven billion, four hundred fifty-nine million, six hundred thirteen thousand, two hundred forty-eight".