1833214166761 has 2 divisors, whose sum is σ = 1833214166762. Its totient is φ = 1833214166760.

The previous prime is 1833214166659. The next prime is 1833214166789. The reversal of 1833214166761 is 1676614123381.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1556832648361 + 276381518400 = 1247731^2 + 525720^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1833214166761 is a prime.

It is a super-2 number, since 2×1833214166761² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1833214116761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 916607083380 + 916607083381.

It is an arithmetic number, because the mean of its divisors is an integer number (916607083381).

Almost surely, 2^{1833214166761} is an apocalyptic number.

It is an amenable number.

1833214166761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1833214166761 is an equidigital number, since it uses as much as digits as its factorization.

1833214166761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 870912, while the sum is 49.

The spelling of 1833214166761 in words is "one trillion, eight hundred thirty-three billion, two hundred fourteen million, one hundred sixty-six thousand, seven hundred sixty-one".