48112411680 has 288 divisors, whose sum is σ = 170371289088. Its totient is φ = 12350822400.

The previous prime is 48112411661. The next prime is 48112411703. The reversal of 48112411680 is 8611421184.

48112411680 is a `hidden beast` number, since 481 + 12 + 4 + 1 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×48112411680³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8791345 + ... + 8796815.

It is an arithmetic number, because the mean of its divisors is an integer number (591566976).

Almost surely, 2^48112411680 is an apocalyptic number.

48112411680 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 48112411680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85185644544).

48112411680 is an abundant number, since it is smaller than the sum of its proper divisors (122258877408).

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

48112411680 is a wasteful number, since it uses less digits than its factorization.

48112411680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5720 (or 5709 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

It can be divided in two parts, 481124 and 11680, that added together give a square (492804 = 702²).

The spelling of 48112411680 in words is "forty-eight billion, one hundred twelve million, four hundred eleven thousand, six hundred eighty".