1148353186560 has 144 divisors (see below), whose sum is σ = 3668749894656. Its totient is φ = 306127581184.

The previous prime is 1148353186559. The next prime is 1148353186567. The reversal of 1148353186560 is 656813538411.

It is not an unprimeable number, because it can be changed into a prime (1148353186567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12114067 + ... + 12208493.

It is an arithmetic number, because the mean of its divisors is an integer number (25477429824).

Almost surely, 2^{1148353186560} is an apocalyptic number.

1148353186560 is a gapful number since it is divisible by the number (10) 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 1148353186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834374947328).

1148353186560 is an abundant number, since it is smaller than the sum of its proper divisors (2520396708096).

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

1148353186560 is an equidigital number, since it uses as much as digits as its factorization.

1148353186560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97618 (or 97604 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 1148353186560 in words is "one trillion, one hundred forty-eight billion, three hundred fifty-three million, one hundred eighty-six thousand, five hundred sixty".