48464978677056 has 252 divisors, whose sum is σ = 146971017347700. Its totient is φ = 15267283439616.

The previous prime is 48464978676949. The next prime is 48464978677111. The reversal of 48464978677056 is 65077687946484.

48464978677056 is a `hidden beast` number, since 4 + 8 + 4 + 6 + 497 + 8 + 6 + 7 + 70 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32417263155456 + 16047715521600 = 5693616^2 + 4005960^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84760890 + ... + 85330758.

Almost surely, 2^{48464978677056} 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 48464978677056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73485508673850).

48464978677056 is an abundant number, since it is smaller than the sum of its proper divisors (98506038670644).

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

48464978677056 is a wasteful number, since it uses less digits than its factorization.

48464978677056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570334 (or 570302 counting only the distinct ones).

The product of its (nonzero) digits is 13655900160, while the sum is 81.

The spelling of 48464978677056 in words is "forty-eight trillion, four hundred sixty-four billion, nine hundred seventy-eight million, six hundred seventy-seven thousand, fifty-six".