48066764928 has 256 divisors, whose sum is σ = 158393303040. Its totient is φ = 12575969280.

The previous prime is 48066764881. The next prime is 48066764947. The reversal of 48066764928 is 82946766084.

It is a super-3 number, since 3×48066764928³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4432473 + ... + 4443303.

It is an arithmetic number, because the mean of its divisors is an integer number (618723840).

Almost surely, 2^48066764928 is an apocalyptic number.

48066764928 is a gapful number since it is divisible by the number (48) 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 48066764928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79196651520).

48066764928 is an abundant number, since it is smaller than the sum of its proper divisors (110326538112).

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

48066764928 is a wasteful number, since it uses less digits than its factorization.

48066764928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10995 (or 10983 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 48066764928 in words is "forty-eight billion, sixty-six million, seven hundred sixty-four thousand, nine hundred twenty-eight".