1998833267601 has 21 divisors (see below), whose sum is σ = 2996936193369. Its totient is φ = 1332530063316.

The previous prime is 1998833267591. The next prime is 1998833267603. The reversal of 1998833267601 is 1067623388991.

The square root of 1998833267601 is 1413801.

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

1998833267601 is a `hidden beast` number, since 19 + 9 + 8 + 8 + 3 + 3 + 2 + 6 + 7 + 601 = 666.

It is not a de Polignac number, because 1998833267601 - 2⁹ = 1998833267089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1998833267603) 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 20 ways as a sum of consecutive naturals, for example, 38146446 + ... + 38198808.

Almost surely, 2^{1998833267601} is an apocalyptic number.

1998833267601 is the 1413801-st square number.

1998833267601 is the 706901-st centered octagonal number.

It is an amenable number.

1998833267601 is a deficient number, since it is larger than the sum of its proper divisors (998102925768).

1998833267601 is an frugal number, since it uses more digits than its factorization.

1998833267601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104744 (or 52366 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 1998833267601 in words is "one trillion, nine hundred ninety-eight billion, eight hundred thirty-three million, two hundred sixty-seven thousand, six hundred one".