49871368963008 has 504 divisors, whose sum is σ = 151312279350960. Its totient is φ = 15702250291200.

The previous prime is 49871368962971. The next prime is 49871368963019. The reversal of 49871368963008 is 80036986317894.

49871368963008 is a `hidden beast` number, since 498 + 7 + 13 + 6 + 8 + 96 + 30 + 0 + 8 = 666.

49871368963008 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 congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 8174291158 + ... + 8174297258.

It is an arithmetic number, because the mean of its divisors is an integer number (300222776490).

Almost surely, 2^{49871368963008} is an apocalyptic number.

49871368963008 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 49871368963008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75656139675480).

49871368963008 is an abundant number, since it is smaller than the sum of its proper divisors (101440910387952).

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

49871368963008 is a wasteful number, since it uses less digits than its factorization.

49871368963008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6497 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 49871368963008 in words is "forty-nine trillion, eight hundred seventy-one billion, three hundred sixty-eight million, nine hundred sixty-three thousand, eight".