32681408401 has 8 divisors (see below), whose sum is σ = 33102958824. Its totient is φ = 32261779200.

The previous prime is 32681408387. The next prime is 32681408407. The reversal of 32681408401 is 10480418623.

It is a Cunningham number, because it is equal to 180780²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 3772907776 + 28908500625 = 61424^2 + 170025^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 32681408401 - 2⁵ = 32681408369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32681408407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 446050 + ... + 514123.

It is an arithmetic number, because the mean of its divisors is an integer number (4137869853).

Almost surely, 2^32681408401 is an apocalyptic number.

It is an amenable number.

32681408401 is a deficient number, since it is larger than the sum of its proper divisors (421550423).

32681408401 is a wasteful number, since it uses less digits than its factorization.

32681408401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960611.

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 32681408401 in words is "thirty-two billion, six hundred eighty-one million, four hundred eight thousand, four hundred one".