1228168225536 has 432 divisors, whose sum is σ = 3943480762368. Its totient is φ = 337991270400.

The previous prime is 1228168225513. The next prime is 1228168225561. The reversal of 1228168225536 is 6355228618221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260147656 + ... + 260152376.

Almost surely, 2^{1228168225536} is an apocalyptic number.

1228168225536 is a gapful number since it is divisible by the number (16) 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 1228168225536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971740381184).

1228168225536 is an abundant number, since it is smaller than the sum of its proper divisors (2715312536832).

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

1228168225536 is a wasteful number, since it uses less digits than its factorization.

1228168225536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 4987 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The spelling of 1228168225536 in words is "one trillion, two hundred twenty-eight billion, one hundred sixty-eight million, two hundred twenty-five thousand, five hundred thirty-six".