33643465152461 has 2 divisors, whose sum is σ = 33643465152462. Its totient is φ = 33643465152460.

The previous prime is 33643465152379. The next prime is 33643465152463. The reversal of 33643465152461 is 16425156434633.

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., 21585139452361 + 12058325700100 = 4645981^2 + 3472510^2 .

It is a cyclic number.

It is not a de Polignac number, because 33643465152461 - 2³⁰ = 33642391410637 is a prime.

It is a super-2 number, since 2×33643465152461² (a number of 28 digits) contains 22 as substring.

Together with 33643465152463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33643465152463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16821732576230 + 16821732576231.

It is an arithmetic number, because the mean of its divisors is an integer number (16821732576231).

Almost surely, 2^{33643465152461} is an apocalyptic number.

It is an amenable number.

33643465152461 is a deficient number, since it is larger than the sum of its proper divisors (1).

33643465152461 is an equidigital number, since it uses as much as digits as its factorization.

33643465152461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18662400, while the sum is 53.

The spelling of 33643465152461 in words is "thirty-three trillion, six hundred forty-three billion, four hundred sixty-five million, one hundred fifty-two thousand, four hundred sixty-one".