1142493765625 has 63 divisors (see below), whose sum is σ = 1520068257721. Its totient is φ = 858520400000.

The previous prime is 1142493765601. The next prime is 1142493765629. The reversal of 1142493765625 is 5265673942411.

The square root of 1142493765625 is 1068875.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 1123220552041 + 19273213584 = 1059821^2 + 138828^2 .

It is not a de Polignac number, because 1142493765625 - 2¹¹ = 1142493763577 is a prime.

It is a Duffinian number.

Its product of digits (10886400) is a multiple of the sum of its prime divisors (525).

It is not an unprimeable number, because it can be changed into a prime (1142493765629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2271359124 + ... + 2271359626.

Almost surely, 2^{1142493765625} is an apocalyptic number.

1142493765625 is the 1068875-th square number.

1142493765625 is the 534438-th centered octagonal number.

It is an amenable number.

1142493765625 is a deficient number, since it is larger than the sum of its proper divisors (377574492096).

1142493765625 is an frugal number, since it uses more digits than its factorization.

1142493765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 525 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 55.

The spelling of 1142493765625 in words is "one trillion, one hundred forty-two billion, four hundred ninety-three million, seven hundred sixty-five thousand, six hundred twenty-five".