1632770284401 has 27 divisors (see below), whose sum is σ = 2376550966881. Its totient is φ = 1080220607424.

The previous prime is 1632770284373. The next prime is 1632770284417. The reversal of 1632770284401 is 1044820772361.

The square root of 1632770284401 is 1277799.

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

1632770284401 is a `hidden beast` number, since 1 + 6 + 327 + 7 + 0 + 284 + 40 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 110320301025 + 1522449983376 = 332145^2 + 1233876^2 .

It is not a de Polignac number, because 1632770284401 - 2⁷ = 1632770284273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1632770234401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 525173835 + ... + 525176943.

Almost surely, 2^{1632770284401} is an apocalyptic number.

1632770284401 is the 1277799-th square number.

1632770284401 is the 638900-th centered octagonal number.

It is an amenable number.

1632770284401 is a deficient number, since it is larger than the sum of its proper divisors (743780682480).

1632770284401 is an frugal number, since it uses more digits than its factorization.

1632770284401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1632770284401 in words is "one trillion, six hundred thirty-two billion, seven hundred seventy million, two hundred eighty-four thousand, four hundred one".