48488378849568 has 432 divisors, whose sum is σ = 164780451219384. Its totient is φ = 13475795558400.

The previous prime is 48488378849567. The next prime is 48488378849587. The reversal of 48488378849568 is 86594887388484.

It is a happy number.

48488378849568 is a `hidden beast` number, since 4 + 8 + 4 + 8 + 8 + 37 + 8 + 8 + 4 + 9 + 568 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23072382570384 + 25415996279184 = 4803372^2 + 5041428^2 .

It is a super-2 number, since 2×48488378849568² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48488378849567) 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, 2400285868 + ... + 2400306068.

Almost surely, 2^{48488378849568} is an apocalyptic number.

48488378849568 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 48488378849568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82390225609692).

48488378849568 is an abundant number, since it is smaller than the sum of its proper divisors (116292072369816).

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

48488378849568 is a wasteful number, since it uses less digits than its factorization.

48488378849568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24865 (or 24847 counting only the distinct ones).

The product of its digits is 95126814720, while the sum is 90.

The spelling of 48488378849568 in words is "forty-eight trillion, four hundred eighty-eight billion, three hundred seventy-eight million, eight hundred forty-nine thousand, five hundred sixty-eight".