48468304080 has 360 divisors, whose sum is σ = 192239588736. Its totient is φ = 10720028160.

The previous prime is 48468304051. The next prime is 48468304097. The reversal of 48468304080 is 8040386484.

48468304080 is a `hidden beast` number, since 48 + 468 + 30 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4838437 + ... + 4848443.

Almost surely, 2^48468304080 is an apocalyptic number.

48468304080 is a gapful number since it is divisible by the number (40) 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 48468304080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96119794368).

48468304080 is an abundant number, since it is smaller than the sum of its proper divisors (143771284656).

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

48468304080 is a wasteful number, since it uses less digits than its factorization.

48468304080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10095 (or 10055 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

It can be divided in two parts, 4846 and 8304080, that added together give a triangular number (8308926 = T₄₀₇₆).

The spelling of 48468304080 in words is "forty-eight billion, four hundred sixty-eight million, three hundred four thousand, eighty".