1153108228608 has 360 divisors, whose sum is σ = 3899649119652. Its totient is φ = 327045906432.

The previous prime is 1153108228607. The next prime is 1153108228627. The reversal of 1153108228608 is 8068228013511.

1153108228608 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 10 + 8 + 2 + 28 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1031703369984 + 121404858624 = 1015728^2 + 348432^2 .

It is not an unprimeable number, because it can be changed into a prime (1153108228607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30914866 + ... + 30952142.

Almost surely, 2^{1153108228608} is an apocalyptic number.

1153108228608 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 1153108228608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949824559826).

1153108228608 is an abundant number, since it is smaller than the sum of its proper divisors (2746540891044).

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

1153108228608 is a wasteful number, since it uses less digits than its factorization.

1153108228608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37452 (or 37426 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 1153108228608 in words is "one trillion, one hundred fifty-three billion, one hundred eight million, two hundred twenty-eight thousand, six hundred eight".