48401617248 has 144 divisors (see below), whose sum is σ = 139139241696. Its totient is φ = 15958978560.

The previous prime is 48401617247. The next prime is 48401617259. The reversal of 48401617248 is 84271610484.

48401617248 is a `hidden beast` number, since 4 + 8 + 4 + 0 + 1 + 617 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48401617247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20534086 + ... + 20536442.

It is an arithmetic number, because the mean of its divisors is an integer number (966244734).

Almost surely, 2^48401617248 is an apocalyptic number.

48401617248 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 48401617248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69569620848).

48401617248 is an abundant number, since it is smaller than the sum of its proper divisors (90737624448).

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

48401617248 is a wasteful number, since it uses less digits than its factorization.

48401617248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

It can be divided in two parts, 484016 and 17248, that added together give a square (501264 = 708²).

The spelling of 48401617248 in words is "forty-eight billion, four hundred one million, six hundred seventeen thousand, two hundred forty-eight".