32649807428001 has 45 divisors (see below), whose sum is σ = 49114229172393. Its totient is φ = 21615380102880.

The previous prime is 32649807427999. The next prime is 32649807428003. The reversal of 32649807428001 is 10082470894623.

The square root of 32649807428001 is 5714001.

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

32649807428001 is a `hidden beast` number, since 3 + 2 + 6 + 498 + 0 + 74 + 2 + 80 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (32649807427999) and next prime (32649807428003).

It can be written as a sum of positive squares in 4 ways, for example, as 883507882401 + 31766299545600 = 939951^2 + 5636160^2 .

It is not a de Polignac number, because 32649807428001 - 2¹ = 32649807427999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32649807428003) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7662473211 + ... + 7662477471.

Almost surely, 2^{32649807428001} is an apocalyptic number.

32649807428001 is the 5714001-st square number.

32649807428001 is the 2857001-st centered octagonal number.

It is an amenable number.

32649807428001 is a deficient number, since it is larger than the sum of its proper divisors (16464421744392).

32649807428001 is an frugal number, since it uses more digits than its factorization.

32649807428001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8832 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 32649807428001 in words is "thirty-two trillion, six hundred forty-nine billion, eight hundred seven million, four hundred twenty-eight thousand, one".