48696605350848 has 2016 divisors, whose sum is σ = 187602839424000. Its totient is φ = 11785081651200.

The previous prime is 48696605350831. The next prime is 48696605350997. The reversal of 48696605350848 is 84805350669684.

48696605350848 is a `hidden beast` number, since 4 + 8 + 6 + 9 + 6 + 6 + 0 + 535 + 0 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 105632549338 + ... + 105632549798.

It is an arithmetic number, because the mean of its divisors is an integer number (93056964000).

Almost surely, 2^{48696605350848} is an apocalyptic number.

48696605350848 is a gapful number since it is divisible by the number (48) 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 48696605350848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93801419712000).

48696605350848 is an abundant number, since it is smaller than the sum of its proper divisors (138906234073152).

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

48696605350848 is a wasteful number, since it uses less digits than its factorization.

48696605350848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 1194393600, while the sum is 72.

The spelling of 48696605350848 in words is "forty-eight trillion, six hundred ninety-six billion, six hundred five million, three hundred fifty thousand, eight hundred forty-eight".