2448117788688 has 960 divisors, whose sum is σ = 8675384739840. Its totient is φ = 633741926400.

The previous prime is 2448117788659. The next prime is 2448117788771. The reversal of 2448117788688 is 8868877118442.

2448117788688 is a `hidden beast` number, since 2 + 4 + 481 + 1 + 7 + 7 + 88 + 68 + 8 = 666.

It is a super-2 number, since 2×2448117788688² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2699137131 + ... + 2699138037.

It is an arithmetic number, because the mean of its divisors is an integer number (9036859104).

Almost surely, 2^{2448117788688} 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 2448117788688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337692369920).

2448117788688 is an abundant number, since it is smaller than the sum of its proper divisors (6227266951152).

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

2448117788688 is a wasteful number, since it uses less digits than its factorization.

2448117788688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1139 counting only the distinct ones).

The product of its digits is 308281344, while the sum is 72.

The spelling of 2448117788688 in words is "two trillion, four hundred forty-eight billion, one hundred seventeen million, seven hundred eighty-eight thousand, six hundred eighty-eight".