48066368112 has 600 divisors, whose sum is σ = 171939272960. Its totient is φ = 12962436480.

The previous prime is 48066368041. The next prime is 48066368149. The reversal of 48066368112 is 21186366084.

48066368112 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 636 + 8 + 1 + 1 + 2 = 666.

It is a super-3 number, since 3×48066368112³ (a number of 33 digits) contains 333 as substring.

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 119 ways as a sum of consecutive naturals, for example, 177366537 + ... + 177366807.

Almost surely, 2^48066368112 is an apocalyptic number.

48066368112 is a gapful number since it is divisible by the number (42) 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 48066368112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85969636480).

48066368112 is an abundant number, since it is smaller than the sum of its proper divisors (123872904848).

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

48066368112 is an equidigital number, since it uses as much as digits as its factorization.

48066368112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 48066368112 in words is "forty-eight billion, sixty-six million, three hundred sixty-eight thousand, one hundred twelve".