48728438809344 has 432 divisors, whose sum is σ = 169962292281600. Its totient is φ = 13115952635904.

The previous prime is 48728438809343. The next prime is 48728438809387. The reversal of 48728438809344 is 44390883482784.

48728438809344 is a `hidden beast` number, since 4 + 8 + 7 + 28 + 438 + 80 + 93 + 4 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48728438809343) 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 47 ways as a sum of consecutive naturals, for example, 54407142 + ... + 55295514.

Almost surely, 2^{48728438809344} 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 48728438809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84981146140800).

48728438809344 is an abundant number, since it is smaller than the sum of its proper divisors (121233853472256).

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

48728438809344 is a wasteful number, since it uses less digits than its factorization.

48728438809344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888600 (or 888583 counting only the distinct ones).

The product of its (nonzero) digits is 1189085184, while the sum is 72.

The spelling of 48728438809344 in words is "forty-eight trillion, seven hundred twenty-eight billion, four hundred thirty-eight million, eight hundred nine thousand, three hundred forty-four".