48085696512 has 192 divisors, whose sum is σ = 158763518160. Its totient is φ = 13738180608.

The previous prime is 48085696493. The next prime is 48085696517. The reversal of 48085696512 is 21569658084.

48085696512 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 569 + 65 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×48085696512³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48085696517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2052738 + ... + 2076030.

Almost surely, 2^48085696512 is an apocalyptic number.

48085696512 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 48085696512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79381759080).

48085696512 is an abundant number, since it is smaller than the sum of its proper divisors (110677821648).

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

48085696512 is an equidigital number, since it uses as much as digits as its factorization.

48085696512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23336 (or 23305 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 48085696512 in words is "forty-eight billion, eighty-five million, six hundred ninety-six thousand, five hundred twelve".