10830849904993 has 2 divisors, whose sum is σ = 10830849904994. Its totient is φ = 10830849904992.

The previous prime is 10830849904951. The next prime is 10830849905003. The reversal of 10830849904993 is 39940994803801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6125907153249 + 4704942751744 = 2475057^2 + 2169088^2 .

It is a cyclic number.

It is not a de Polignac number, because 10830849904993 - 2¹⁷ = 10830849773921 is a prime.

It is not a weakly prime, because it can be changed into another prime (10830849904943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5415424952496 + 5415424952497.

It is an arithmetic number, because the mean of its divisors is an integer number (5415424952497).

Almost surely, 2^{10830849904993} is an apocalyptic number.

It is an amenable number.

10830849904993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10830849904993 is an equidigital number, since it uses as much as digits as its factorization.

10830849904993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60466176, while the sum is 67.

The spelling of 10830849904993 in words is "ten trillion, eight hundred thirty billion, eight hundred forty-nine million, nine hundred four thousand, nine hundred ninety-three".