91958241785801 has 2 divisors, whose sum is σ = 91958241785802. Its totient is φ = 91958241785800.

The previous prime is 91958241785777. The next prime is 91958241785887. The reversal of 91958241785801 is 10858714285919.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86564862592576 + 5393379193225 = 9304024^2 + 2322365^2 .

It is a cyclic number.

It is not a de Polignac number, because 91958241785801 - 2³⁸ = 91683363878857 is a prime.

It is not a weakly prime, because it can be changed into another prime (91958241785701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45979120892900 + 45979120892901.

It is an arithmetic number, because the mean of its divisors is an integer number (45979120892901).

Almost surely, 2^{91958241785801} is an apocalyptic number.

It is an amenable number.

91958241785801 is a deficient number, since it is larger than the sum of its proper divisors (1).

91958241785801 is an equidigital number, since it uses as much as digits as its factorization.

91958241785801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58060800, while the sum is 68.

The spelling of 91958241785801 in words is "ninety-one trillion, nine hundred fifty-eight billion, two hundred forty-one million, seven hundred eighty-five thousand, eight hundred one".