48488073971712 has 384 divisors, whose sum is σ = 137122771968000. Its totient is φ = 15194376437760.

The previous prime is 48488073971699. The next prime is 48488073971717. The reversal of 48488073971712 is 21717937088484.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×48488073971712³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48488073971717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9877380714 + ... + 9877385622.

It is an arithmetic number, because the mean of its divisors is an integer number (357090552000).

Almost surely, 2^{48488073971712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48488073971712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68561385984000).

48488073971712 is an abundant number, since it is smaller than the sum of its proper divisors (88634697996288).

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

48488073971712 is a wasteful number, since it uses less digits than its factorization.

48488073971712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 69.

The spelling of 48488073971712 in words is "forty-eight trillion, four hundred eighty-eight billion, seventy-three million, nine hundred seventy-one thousand, seven hundred twelve".