1228507840768 has 144 divisors (see below), whose sum is σ = 2823891151536. Its totient is φ = 528364339200.

The previous prime is 1228507840757. The next prime is 1228507840789. The reversal of 1228507840768 is 8670487058221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12234129664 + 1216273711104 = 110608^2 + 1102848^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5606680 + ... + 5821672.

It is an arithmetic number, because the mean of its divisors is an integer number (19610355219).

Almost surely, 2^{1228507840768} 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 1228507840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411945575768).

1228507840768 is an abundant number, since it is smaller than the sum of its proper divisors (1595383310768).

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

1228507840768 is a wasteful number, since it uses less digits than its factorization.

1228507840768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215140 (or 215126 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 58.

The spelling of 1228507840768 in words is "one trillion, two hundred twenty-eight billion, five hundred seven million, eight hundred forty thousand, seven hundred sixty-eight".