32700109996801 has 27 divisors (see below), whose sum is σ = 35751709389123. Its totient is φ = 29895342955920.

The previous prime is 32700109996759. The next prime is 32700109996837. The reversal of 32700109996801 is 10869990100723.

The square root of 32700109996801 is 5718401.

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

It can be written as a sum of positive squares in only one way, i.e., 4837294378225 + 27862815618576 = 2199385^2 + 5278524^2 .

It is not a de Polignac number, because 32700109996801 - 2¹⁵ = 32700109964033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32700109996871) 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, 7954293736 + ... + 7954297846.

Almost surely, 2^{32700109996801} is an apocalyptic number.

32700109996801 is the 5718401-st square number.

32700109996801 is the 2859201-st centered octagonal number.

It is an amenable number.

32700109996801 is a deficient number, since it is larger than the sum of its proper divisors (3051599392322).

32700109996801 is an frugal number, since it uses more digits than its factorization.

32700109996801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8462 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 55.

The spelling of 32700109996801 in words is "thirty-two trillion, seven hundred billion, one hundred nine million, nine hundred ninety-six thousand, eight hundred one".