48015812416 has 168 divisors, whose sum is σ = 115547817672. Its totient is φ = 19653427200.

The previous prime is 48015812387. The next prime is 48015812417. The reversal of 48015812416 is 61421851084.

It can be written as a sum of positive squares in 4 ways, for example, as 2238016 + 48013574400 = 1496^2 + 219120^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48015812417) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4121736 + ... + 4133368.

It is an arithmetic number, because the mean of its divisors is an integer number (687784629).

Almost surely, 2^48015812416 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 48015812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57773908836).

48015812416 is an abundant number, since it is smaller than the sum of its proper divisors (67532005256).

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

48015812416 is a wasteful number, since it uses less digits than its factorization.

48015812416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11721 (or 11700 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 48015812416 in words is "forty-eight billion, fifteen million, eight hundred twelve thousand, four hundred sixteen".