48800362248 has 448 divisors, whose sum is σ = 164033942400. Its totient is φ = 13429463040.

The previous prime is 48800362229. The next prime is 48800362283. The reversal of 48800362248 is 84226300884.

48800362248 is a `hidden beast` number, since 48 + 8 + 0 + 0 + 362 + 248 = 666.

It is a super-2 number, since 2×48800362248² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 31626165 + ... + 31627707.

Almost surely, 2^48800362248 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 48800362248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82016971200).

48800362248 is an abundant number, since it is smaller than the sum of its proper divisors (115233580152).

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

48800362248 is a wasteful number, since it uses less digits than its factorization.

48800362248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 48800362248 in words is "forty-eight billion, eight hundred million, three hundred sixty-two thousand, two hundred forty-eight".