48081005000000 has 504 divisors, whose sum is σ = 139048533390312. Its totient is φ = 16447704000000.

The previous prime is 48081004999969. The next prime is 48081005000009. The reversal of 48081005000000 is 50018084.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 47563422597376 + 517582402624 = 6896624^2 + 719432^2 .

It is a super-3 number, since 3×48081005000000³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48081005000009) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 108534999779 + ... + 108535000221.

It is an arithmetic number, because the mean of its divisors is an integer number (275889947203).

Almost surely, 2^{48081005000000} is an apocalyptic number.

48081005000000 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 48081005000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69524266695156).

48081005000000 is an abundant number, since it is smaller than the sum of its proper divisors (90967528390312).

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

48081005000000 is an frugal number, since it uses more digits than its factorization.

48081005000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 48081005000000 its reverse (50018084), we get a palindrome (48081055018084).

The spelling of 48081005000000 in words is "forty-eight trillion, eighty-one billion, five million", and thus it is an aban number and an uban number.