48632826816 has 448 divisors, whose sum is σ = 174865792000. Its totient is φ = 12944240640.

The previous prime is 48632826793. The next prime is 48632826817. The reversal of 48632826816 is 61862823684.

48632826816 is a `hidden beast` number, since 48 + 6 + 328 + 268 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48632826817) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14017530 + ... + 14020998.

Almost surely, 2^48632826816 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 48632826816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87432896000).

48632826816 is an abundant number, since it is smaller than the sum of its proper divisors (126232965184).

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

48632826816 is a wasteful number, since it uses less digits than its factorization.

48632826816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3561 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 48632826816 in words is "forty-eight billion, six hundred thirty-two million, eight hundred twenty-six thousand, eight hundred sixteen".