48628948398624 has 768 divisors, whose sum is σ = 164073619906560. Its totient is φ = 13868583505920.

The previous prime is 48628948398619. The next prime is 48628948398673. The reversal of 48628948398624 is 42689384982684.

48628948398624 is a `hidden beast` number, since 4 + 8 + 6 + 28 + 9 + 483 + 98 + 6 + 24 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3534844354 + ... + 3534858110.

It is an arithmetic number, because the mean of its divisors is an integer number (213637525920).

Almost surely, 2^{48628948398624} is an apocalyptic number.

48628948398624 is a gapful number since it is divisible by the number (44) 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 48628948398624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82036809953280).

48628948398624 is an abundant number, since it is smaller than the sum of its proper divisors (115444671507936).

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

48628948398624 is a wasteful number, since it uses less digits than its factorization.

48628948398624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14070 (or 14056 counting only the distinct ones).

The product of its digits is 9172942848, while the sum is 81.

The spelling of 48628948398624 in words is "forty-eight trillion, six hundred twenty-eight billion, nine hundred forty-eight million, three hundred ninety-eight thousand, six hundred twenty-four".