1144832425600 has 48 divisors (see below), whose sum is σ = 2828093859270. Its totient is φ = 457932968960.

The previous prime is 1144832425549. The next prime is 1144832425601. The reversal of 1144832425600 is 65242384411.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1117654924864 + 27177500736 = 1057192^2 + 164856^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1144832425601) 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 5 ways as a sum of consecutive naturals, for example, 178876867 + ... + 178883266.

Almost surely, 2^{1144832425600} is an apocalyptic number.

1144832425600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144832425600 is an abundant number, since it is smaller than the sum of its proper divisors (1683261433670).

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

1144832425600 is an equidigital number, since it uses as much as digits as its factorization.

1144832425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357760157 (or 357760140 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 1144832425600 in words is "one trillion, one hundred forty-four billion, eight hundred thirty-two million, four hundred twenty-five thousand, six hundred".