48165818829120 has 84 divisors (see below), whose sum is σ = 165670347690900. Its totient is φ = 12844218353664.

The previous prime is 48165818829097. The next prime is 48165818829179. The reversal of 48165818829120 is 2192881856184.

48165818829120 is a `hidden beast` number, since 4 + 8 + 1 + 6 + 581 + 8 + 8 + 29 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10823257776384 + 37342561052736 = 3289872^2 + 6110856^2 .

It is a super-2 number, since 2×48165818829120² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8362118445 + ... + 8362124204.

Almost surely, 2^{48165818829120} is an apocalyptic number.

48165818829120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48165818829120 is an abundant number, since it is smaller than the sum of its proper divisors (117504528861780).

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

48165818829120 is a wasteful number, since it uses less digits than its factorization.

48165818829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16724242672 (or 16724242659 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 63.

The spelling of 48165818829120 in words is "forty-eight trillion, one hundred sixty-five billion, eight hundred eighteen million, eight hundred twenty-nine thousand, one hundred twenty".