1019148801841 has 9 divisors (see below), whose sum is σ = 1031660461209. Its totient is φ = 1006787119236.

The previous prime is 1019148801829. The next prime is 1019148801883. The reversal of 1019148801841 is 1481088419101.

It is a happy number.

The square root of 1019148801841 is 1009529.

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

It is not a de Polignac number, because 1019148801841 - 2⁹ = 1019148801329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1019148801791 and 1019148801800.

It is not an unprimeable number, because it can be changed into a prime (1019148801641) 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 8 ways as a sum of consecutive naturals, for example, 83784826 + ... + 83796988.

Almost surely, 2^{1019148801841} is an apocalyptic number.

1019148801841 is the 1009529-th square number.

1019148801841 is the 504765-th centered octagonal number.

It is an amenable number.

1019148801841 is a deficient number, since it is larger than the sum of its proper divisors (12511659368).

1019148801841 is an frugal number, since it uses more digits than its factorization.

1019148801841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24492 (or 12246 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 46.

The spelling of 1019148801841 in words is "one trillion, nineteen billion, one hundred forty-eight million, eight hundred one thousand, eight hundred forty-one".