48603985633728 has 896 divisors, whose sum is σ = 171841675315200. Its totient is φ = 13179727282176.

The previous prime is 48603985633681. The next prime is 48603985633751. The reversal of 48603985633728 is 82733658930684.

48603985633728 is a `hidden beast` number, since 4 + 8 + 6 + 0 + 3 + 9 + 8 + 563 + 37 + 28 = 666.

It is a super-3 number, since 3×48603985633728³ (a number of 42 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21727305826 + ... + 21727308062.

Almost surely, 2^{48603985633728} is an apocalyptic number.

48603985633728 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 48603985633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85920837657600).

48603985633728 is an abundant number, since it is smaller than the sum of its proper divisors (123237689681472).

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

48603985633728 is a wasteful number, since it uses less digits than its factorization.

48603985633728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 48603985633728 in words is "forty-eight trillion, six hundred three billion, nine hundred eighty-five million, six hundred thirty-three thousand, seven hundred twenty-eight".