12633984801 has 63 divisors (see below), whose sum is σ = 19911704547. Its totient is φ = 8011943280.

The previous prime is 12633984799. The next prime is 12633984823. The reversal of 12633984801 is 10848933621.

The square root of 12633984801 is 112401.

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

12633984801 is a `hidden beast` number, since 1 + 2 + 633 + 9 + 8 + 4 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 139216401 + 12494768400 = 11799^2 + 111780^2 .

It is not a de Polignac number, because 12633984801 - 2¹ = 12633984799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12633984871) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 69800931 + ... + 69801111.

Almost surely, 2^12633984801 is an apocalyptic number.

12633984801 is the 112401-st square number.

12633984801 is the 56201-st centered octagonal number.

It is an amenable number.

12633984801 is a deficient number, since it is larger than the sum of its proper divisors (7277719746).

12633984801 is an frugal number, since it uses more digits than its factorization.

12633984801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12633984801 in words is "twelve billion, six hundred thirty-three million, nine hundred eighty-four thousand, eight hundred one".