1148302945600 has 84 divisors (see below), whose sum is σ = 2828954578300. Its totient is φ = 458766581760.

The previous prime is 1148302945507. The next prime is 1148302945607. The reversal of 1148302945600 is 65492038411.

It can be written as a sum of positive squares in 6 ways, for example, as 46542021696 + 1101760923904 = 215736^2 + 1049648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148302945607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 893536 + ... + 1759264.

Almost surely, 2^{1148302945600} is an apocalyptic number.

1148302945600 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 1148302945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414477289150).

1148302945600 is an abundant number, since it is smaller than the sum of its proper divisors (1680651632700).

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

1148302945600 is an equidigital number, since it uses as much as digits as its factorization.

1148302945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866580 (or 866565 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

It can be divided in two parts, 1148302 and 945600, that added together give a palindrome (2093902).

The spelling of 1148302945600 in words is "one trillion, one hundred forty-eight billion, three hundred two million, nine hundred forty-five thousand, six hundred".