1837123672649 has 2 divisors, whose sum is σ = 1837123672650. Its totient is φ = 1837123672648.

The previous prime is 1837123672621. The next prime is 1837123672651. The reversal of 1837123672649 is 9462763217381.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1524718692025 + 312404980624 = 1234795^2 + 558932^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1837123672649 is a prime.

It is a super-2 number, since 2×1837123672649² (a number of 25 digits) contains 22 as substring.

Together with 1837123672651, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1837123572649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 918561836324 + 918561836325.

It is an arithmetic number, because the mean of its divisors is an integer number (918561836325).

Almost surely, 2^{1837123672649} is an apocalyptic number.

It is an amenable number.

1837123672649 is a deficient number, since it is larger than the sum of its proper divisors (1).

1837123672649 is an equidigital number, since it uses as much as digits as its factorization.

1837123672649 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18289152, while the sum is 59.

The spelling of 1837123672649 in words is "one trillion, eight hundred thirty-seven billion, one hundred twenty-three million, six hundred seventy-two thousand, six hundred forty-nine".