842266898001 has 9 divisors (see below), whose sum is σ = 1216611718491. Its totient is φ = 561509429832.

The previous prime is 842266897991. The next prime is 842266898023. The reversal of 842266898001 is 100898662248.

The square root of 842266898001 is 917751.

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

842266898001 is a `hidden beast` number, since 8 + 422 + 66 + 89 + 80 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 551016713025 + 291250184976 = 742305^2 + 539676^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 842266898001 - 2³⁷ = 704827944529 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (842266891001) 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, 2600295 + ... + 2906211.

Almost surely, 2^842266898001 is an apocalyptic number.

842266898001 is the 917751-st square number.

842266898001 is the 458876-th centered octagonal number.

It is an amenable number.

842266898001 is a deficient number, since it is larger than the sum of its proper divisors (374344820490).

842266898001 is an frugal number, since it uses more digits than its factorization.

842266898001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611840 (or 305920 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 842266898001 in words is "eight hundred forty-two billion, two hundred sixty-six million, eight hundred ninety-eight thousand, one".