48419921274912 has 288 divisors, whose sum is σ = 158839242831360. Its totient is φ = 13853062656000.

The previous prime is 48419921274887. The next prime is 48419921274937. The reversal of 48419921274912 is 21947212991484.

48419921274912 is a `hidden beast` number, since 4 + 8 + 4 + 19 + 9 + 2 + 127 + 491 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (48419921274887) and next prime (48419921274937).

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 48419921274912.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1986087 + ... + 10039142.

It is an arithmetic number, because the mean of its divisors is an integer number (551525148720).

Almost surely, 2^{48419921274912} 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 48419921274912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79419621415680).

48419921274912 is an abundant number, since it is smaller than the sum of its proper divisors (110419321556448).

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

48419921274912 is a wasteful number, since it uses less digits than its factorization.

48419921274912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12025328 (or 12025317 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 48419921274912 in words is "forty-eight trillion, four hundred nineteen billion, nine hundred twenty-one million, two hundred seventy-four thousand, nine hundred twelve".