83367728446001 has 2 divisors, whose sum is σ = 83367728446002. Its totient is φ = 83367728446000.

The previous prime is 83367728445979. The next prime is 83367728446007. The reversal of 83367728446001 is 10064482776338.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42627579840400 + 40740148605601 = 6528980^2 + 6382801^2 .

It is a cyclic number.

It is not a de Polignac number, because 83367728446001 - 2¹⁴ = 83367728429617 is a prime.

It is not a weakly prime, because it can be changed into another prime (83367728446007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41683864223000 + 41683864223001.

It is an arithmetic number, because the mean of its divisors is an integer number (41683864223001).

Almost surely, 2^{83367728446001} is an apocalyptic number.

It is an amenable number.

83367728446001 is a deficient number, since it is larger than the sum of its proper divisors (1).

83367728446001 is an equidigital number, since it uses as much as digits as its factorization.

83367728446001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32514048, while the sum is 59.

The spelling of 83367728446001 in words is "eighty-three trillion, three hundred sixty-seven billion, seven hundred twenty-eight million, four hundred forty-six thousand, one".