32990976648001 has 2 divisors, whose sum is σ = 32990976648002. Its totient is φ = 32990976648000.

The previous prime is 32990976647921. The next prime is 32990976648013. The reversal of 32990976648001 is 10084667909923.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32580350726400 + 410625921601 = 5707920^2 + 640801^2 .

It is an emirp because it is prime and its reverse (10084667909923) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32990976648001 - 2¹⁷ = 32990976516929 is a prime.

It is not a weakly prime, because it can be changed into another prime (32990976648701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16495488324000 + 16495488324001.

It is an arithmetic number, because the mean of its divisors is an integer number (16495488324001).

Almost surely, 2^{32990976648001} is an apocalyptic number.

It is an amenable number.

32990976648001 is a deficient number, since it is larger than the sum of its proper divisors (1).

32990976648001 is an equidigital number, since it uses as much as digits as its factorization.

32990976648001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35271936, while the sum is 64.

The spelling of 32990976648001 in words is "thirty-two trillion, nine hundred ninety billion, nine hundred seventy-six million, six hundred forty-eight thousand, one".