48219494648832 has 1760 divisors, whose sum is σ = 169706667449088. Its totient is φ = 13502571872256.

The previous prime is 48219494648807. The next prime is 48219494648833. The reversal of 48219494648832 is 23884649491284.

48219494648832 is a `hidden beast` number, since 4 + 8 + 2 + 19 + 49 + 464 + 88 + 32 = 666.

48219494648832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48219494648833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 83569314528 + ... + 83569315104.

Almost surely, 2^{48219494648832} 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 48219494648832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84853333724544).

48219494648832 is an abundant number, since it is smaller than the sum of its proper divisors (121487172800256).

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

48219494648832 is a wasteful number, since it uses less digits than its factorization.

48219494648832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 756 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 72.

The spelling of 48219494648832 in words is "forty-eight trillion, two hundred nineteen billion, four hundred ninety-four million, six hundred forty-eight thousand, eight hundred thirty-two".