50368883466240 has 1344 divisors, whose sum is σ = 184197869856000. Its totient is φ = 12714887872512.

The previous prime is 50368883466193. The next prime is 50368883466247. The reversal of 50368883466240 is 4266438886305.

It is a happy number.

50368883466240 is a `hidden beast` number, since 50 + 3 + 6 + 8 + 8 + 83 + 466 + 2 + 40 = 666.

It is a super-3 number, since 3×50368883466240³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (50368883466247) 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 95 ways as a sum of consecutive naturals, for example, 164068024167 + ... + 164068024473.

It is an arithmetic number, because the mean of its divisors is an integer number (137051986500).

Almost surely, 2^{50368883466240} 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 50368883466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92098934928000).

50368883466240 is an abundant number, since it is smaller than the sum of its proper divisors (133828986389760).

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

50368883466240 is a wasteful number, since it uses less digits than its factorization.

50368883466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 50368883466240 in words is "fifty trillion, three hundred sixty-eight billion, eight hundred eighty-three million, four hundred sixty-six thousand, two hundred forty".