1146978882841 has 45 divisors (see below), whose sum is σ = 1293669411055. Its totient is φ = 1016908383920.

The previous prime is 1146978882839. The next prime is 1146978882853. The reversal of 1146978882841 is 1482888796411.

The square root of 1146978882841 is 1070971.

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

It can be written as a sum of positive squares in only one way, i.e., 826853769225 + 320125113616 = 909315^2 + 565796^2 .

It is not a de Polignac number, because 1146978882841 - 2¹ = 1146978882839 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1146978882641) 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 44 ways as a sum of consecutive naturals, for example, 6868136940 + ... + 6868137106.

Almost surely, 2^{1146978882841} is an apocalyptic number.

1146978882841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1146978882841 is the 1070971-st square number.

1146978882841 is the 535486-th centered octagonal number.

It is an amenable number.

1146978882841 is a deficient number, since it is larger than the sum of its proper divisors (146690528214).

1146978882841 is an frugal number, since it uses more digits than its factorization.

1146978882841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 231 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 67.

The spelling of 1146978882841 in words is "one trillion, one hundred forty-six billion, nine hundred seventy-eight million, eight hundred eighty-two thousand, eight hundred forty-one".