48207410128224 has 144 divisors (see below), whose sum is σ = 139458373563600. Its totient is φ = 15791680171008.

The previous prime is 48207410128187. The next prime is 48207410128313. The reversal of 48207410128224 is 42282101470284.

48207410128224 is a `hidden beast` number, since 4 + 8 + 2 + 0 + 7 + 410 + 1 + 2 + 8 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×48207410128224² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48207410128224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52371862 + ... + 53284394.

It is an arithmetic number, because the mean of its divisors is an integer number (968460927525).

Almost surely, 2^{48207410128224} 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 48207410128224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69729186781800).

48207410128224 is an abundant number, since it is smaller than the sum of its proper divisors (91250963435376).

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

48207410128224 is a wasteful number, since it uses less digits than its factorization.

48207410128224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915717 (or 915706 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 48207410128224 in words is "forty-eight trillion, two hundred seven billion, four hundred ten million, one hundred twenty-eight thousand, two hundred twenty-four".