1041148814689 has 15 divisors (see below), whose sum is σ = 1068938540085. Its totient is φ = 1014081539280.

The previous prime is 1041148814681. The next prime is 1041148814729. The reversal of 1041148814689 is 9864188411401.

The square root of 1041148814689 is 1020367.

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

It can be written as a sum of positive squares in 2 ways, for example, as 850144853089 + 191003961600 = 922033^2 + 437040^2 .

It is not a de Polignac number, because 1041148814689 - 2³ = 1041148814681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1041148814681) 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 14 ways as a sum of consecutive naturals, for example, 1715236624 + ... + 1715237230.

It is an arithmetic number, because the mean of its divisors is an integer number (71262569339).

Almost surely, 2^{1041148814689} is an apocalyptic number.

1041148814689 is the 1020367-th square number.

1041148814689 is the 510184-th centered octagonal number.

It is an amenable number.

1041148814689 is a deficient number, since it is larger than the sum of its proper divisors (27789725396).

1041148814689 is an frugal number, since it uses more digits than its factorization.

1041148814689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 55.

The spelling of 1041148814689 in words is "one trillion, forty-one billion, one hundred forty-eight million, eight hundred fourteen thousand, six hundred eighty-nine".