1356800144689 has 32 divisors (see below), whose sum is σ = 1658335887360. Its totient is φ = 1094039942400.

The previous prime is 1356800144669. The next prime is 1356800144701. The reversal of 1356800144689 is 9864410086531.

It is not a de Polignac number, because 1356800144689 - 2⁵ = 1356800144657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1356800144669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321049 + ... + 1678294.

It is an arithmetic number, because the mean of its divisors is an integer number (51822996480).

Almost surely, 2^{1356800144689} is an apocalyptic number.

1356800144689 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1356800144689 is a deficient number, since it is larger than the sum of its proper divisors (301535742671).

1356800144689 is a wasteful number, since it uses less digits than its factorization.

1356800144689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999581.

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 1356800144689 in words is "one trillion, three hundred fifty-six billion, eight hundred million, one hundred forty-four thousand, six hundred eighty-nine".