48056643193728 has 256 divisors, whose sum is σ = 141637410250560. Its totient is φ = 14345012183040.

The previous prime is 48056643193717. The next prime is 48056643193771. The reversal of 48056643193728 is 82739134665084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21148450 + ... + 23310302.

It is a 1-persistent number, because it is pandigital, but 2⋅48056643193728 = 96113286387456 is not.

Almost surely, 2^{48056643193728} is an apocalyptic number.

48056643193728 is a gapful number since it is divisible by the number (48) 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 48056643193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70818705125280).

48056643193728 is an abundant number, since it is smaller than the sum of its proper divisors (93580767056832).

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

48056643193728 is a wasteful number, since it uses less digits than its factorization.

48056643193728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162017 (or 2162005 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 66.

The spelling of 48056643193728 in words is "forty-eight trillion, fifty-six billion, six hundred forty-three million, one hundred ninety-three thousand, seven hundred twenty-eight".