49283246710656 has 640 divisors, whose sum is σ = 171498744806400. Its totient is φ = 13756061011968.

The previous prime is 49283246710619. The next prime is 49283246710721. The reversal of 49283246710656 is 65601764238294.

49283246710656 is a `hidden beast` number, since 4 + 9 + 283 + 246 + 7 + 106 + 5 + 6 = 666.

49283246710656 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 (63).

It is a junction number, because it is equal to n+sod(n) for n = 49283246710593 and 49283246710602.

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 79 ways as a sum of consecutive naturals, for example, 1899954135 + ... + 1899980073.

It is an arithmetic number, because the mean of its divisors is an integer number (267966788760).

It is a 1-persistent number, because it is pandigital, but 2⋅49283246710656 = 98566493421312 is not.

Almost surely, 2^{49283246710656} 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 49283246710656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85749372403200).

49283246710656 is an abundant number, since it is smaller than the sum of its proper divisors (122215498095744).

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

49283246710656 is a wasteful number, since it uses less digits than its factorization.

49283246710656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26576 (or 26555 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 49283246710656 in words is "forty-nine trillion, two hundred eighty-three billion, two hundred forty-six million, seven hundred ten thousand, six hundred fifty-six".