48216619084032 has 1080 divisors, whose sum is σ = 179237914865856. Its totient is φ = 12820841865216.

The previous prime is 48216619084031. The next prime is 48216619084057. The reversal of 48216619084032 is 23048091661284.

48216619084032 is a `hidden beast` number, since 4 + 8 + 2 + 16 + 619 + 0 + 8 + 4 + 0 + 3 + 2 = 666.

48216619084032 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 48216619084032.

It is not an unprimeable number, because it can be changed into a prime (48216619084031) 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 119 ways as a sum of consecutive naturals, for example, 864642583 + ... + 864698345.

Almost surely, 2^{48216619084032} is an apocalyptic number.

48216619084032 is a gapful number since it is divisible by the number (42) 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 48216619084032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89618957432928).

48216619084032 is an abundant number, since it is smaller than the sum of its proper divisors (131021295781824).

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

48216619084032 is a wasteful number, since it uses less digits than its factorization.

48216619084032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55865 (or 55835 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 48216619084032 in words is "forty-eight trillion, two hundred sixteen billion, six hundred nineteen million, eighty-four thousand, thirty-two".