1228831119648 has 576 divisors, whose sum is σ = 3927976416000. Its totient is φ = 364314931200.

The previous prime is 1228831119641. The next prime is 1228831119661. The reversal of 1228831119648 is 8469111388221.

1228831119648 is a `hidden beast` number, since 1 + 2 + 288 + 311 + 1 + 9 + 6 + 48 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1228831119594 and 1228831119603.

It is not an unprimeable number, because it can be changed into a prime (1228831119641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6175030653 + ... + 6175030851.

It is an arithmetic number, because the mean of its divisors is an integer number (6819403500).

Almost surely, 2^{1228831119648} is an apocalyptic number.

1228831119648 is a gapful number since it is divisible by the number (18) 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 1228831119648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963988208000).

1228831119648 is an abundant number, since it is smaller than the sum of its proper divisors (2699145296352).

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

1228831119648 is a wasteful number, since it uses less digits than its factorization.

1228831119648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 485 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 1228831119648 in words is "one trillion, two hundred twenty-eight billion, eight hundred thirty-one million, one hundred nineteen thousand, six hundred forty-eight".