48065405184 has 360 divisors, whose sum is σ = 147092981112. Its totient is φ = 15606743040.

The previous prime is 48065405153. The next prime is 48065405189. The reversal of 48065405184 is 48150456084.

It is a happy number.

48065405184 is a `hidden beast` number, since 4 + 8 + 0 + 65 + 405 + 184 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1719926784 + 46345478400 = 41472^2 + 215280^2 .

It is a super-3 number, since 3×48065405184³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48065405189) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171051124 + ... + 171051404.

Almost surely, 2^48065405184 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 48065405184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73546490556).

48065405184 is an abundant number, since it is smaller than the sum of its proper divisors (99027575928).

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

48065405184 is a wasteful number, since it uses less digits than its factorization.

48065405184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 48065405184 in words is "forty-eight billion, sixty-five million, four hundred five thousand, one hundred eighty-four".