50822944653312 has 1008 divisors, whose sum is σ = 167145954597440. Its totient is φ = 15337160441856.

The previous prime is 50822944653311. The next prime is 50822944653391. The reversal of 50822944653312 is 21335644922805.

50822944653312 is a `hidden beast` number, since 5 + 0 + 8 + 2 + 2 + 94 + 4 + 6 + 533 + 12 = 666.

It is a super-2 number, since 2×50822944653312² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (50822944653311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221934256014 + ... + 221934256242.

Almost surely, 2^{50822944653312} is an apocalyptic number.

50822944653312 is a gapful number since it is divisible by the number (52) 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 50822944653312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83572977298720).

50822944653312 is an abundant number, since it is smaller than the sum of its proper divisors (116323009944128).

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

50822944653312 is an frugal number, since it uses more digits than its factorization.

50822944653312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 50822944653312 in words is "fifty trillion, eight hundred twenty-two billion, nine hundred forty-four million, six hundred fifty-three thousand, three hundred twelve".