48886738016256 has 1536 divisors, whose sum is σ = 174016926720000. Its totient is φ = 13548560449536.

The previous prime is 48886738016203. The next prime is 48886738016287. The reversal of 48886738016256 is 65261083768884.

48886738016256 is a `hidden beast` number, since 4 + 8 + 8 + 86 + 7 + 380 + 162 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×48886738016256² (a number of 28 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154216839010 + ... + 154216839326.

It is an arithmetic number, because the mean of its divisors is an integer number (113292270000).

Almost surely, 2^{48886738016256} 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 48886738016256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87008463360000).

48886738016256 is an abundant number, since it is smaller than the sum of its proper divisors (125130188703744).

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

48886738016256 is a wasteful number, since it uses less digits than its factorization.

48886738016256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 48886738016256 in words is "forty-eight trillion, eight hundred eighty-six billion, seven hundred thirty-eight million, sixteen thousand, two hundred fifty-six".