1153387648 has 64 divisors (see below), whose sum is σ = 2633656320. Its totient is φ = 492871680.

The previous prime is 1153387633. The next prime is 1153387649. The reversal of 1153387648 is 8467833511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1153387598 and 1153387607.

It is not an unprimeable number, because it can be changed into a prime (1153387649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341488 + ... + 344848.

It is an arithmetic number, because the mean of its divisors is an integer number (41150880).

Almost surely, 2^1153387648 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 1153387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316828160).

1153387648 is an abundant number, since it is smaller than the sum of its proper divisors (1480268672).

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

1153387648 is an equidigital number, since it uses as much as digits as its factorization.

1153387648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3753 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The square root of 1153387648 is about 33961.5613304218. The cubic root of 1153387648 is about 1048.7172992740.

The spelling of 1153387648 in words is "one billion, one hundred fifty-three million, three hundred eighty-seven thousand, six hundred forty-eight".