49822643870208 has 560 divisors, whose sum is σ = 162942442730496. Its totient is φ = 15086624440320.

The previous prime is 49822643870203. The next prime is 49822643870213. The reversal of 49822643870208 is 80207834622894.

49822643870208 is a `hidden beast` number, since 4 + 9 + 8 + 226 + 4 + 387 + 0 + 20 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (49822643870203) and next prime (49822643870213).

It is not an unprimeable number, because it can be changed into a prime (49822643870203) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6827822016 + ... + 6827829312.

Almost surely, 2^{49822643870208} is an apocalyptic number.

49822643870208 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 49822643870208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81471221365248).

49822643870208 is an abundant number, since it is smaller than the sum of its proper divisors (113119798860288).

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

49822643870208 is an equidigital number, since it uses as much as digits as its factorization.

49822643870208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9007 (or 8976 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 49822643870208 in words is "forty-nine trillion, eight hundred twenty-two billion, six hundred forty-three million, eight hundred seventy thousand, two hundred eight".