1140821825345 has 8 divisors (see below), whose sum is σ = 1371443978664. Its totient is φ = 911018934784.

The previous prime is 1140821825323. The next prime is 1140821825347. The reversal of 1140821825345 is 5435281280411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 142828817329 + 997993008016 = 377927^2 + 998996^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1140821825345 - 2¹⁶ = 1140821759809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1140821825296 and 1140821825305.

It is not an unprimeable number, because it can be changed into a prime (1140821825347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204812624 + ... + 204818193.

It is an arithmetic number, because the mean of its divisors is an integer number (171430497333).

Almost surely, 2^{1140821825345} is an apocalyptic number.

It is an amenable number.

1140821825345 is a deficient number, since it is larger than the sum of its proper divisors (230622153319).

1140821825345 is an equidigital number, since it uses as much as digits as its factorization.

1140821825345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409631379.

The product of its (nonzero) digits is 307200, while the sum is 44.

The spelling of 1140821825345 in words is "one trillion, one hundred forty billion, eight hundred twenty-one million, eight hundred twenty-five thousand, three hundred forty-five".