36446402477657 has 2 divisors, whose sum is σ = 36446402477658. Its totient is φ = 36446402477656.

The previous prime is 36446402477647. The next prime is 36446402477659. The reversal of 36446402477657 is 75677420464463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33051242458441 + 3395160019216 = 5749021^2 + 1842596^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36446402477657 is a prime.

Together with 36446402477659, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 36446402477593 and 36446402477602.

It is not a weakly prime, because it can be changed into another prime (36446402477659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18223201238828 + 18223201238829.

It is an arithmetic number, because the mean of its divisors is an integer number (18223201238829).

Almost surely, 2^{36446402477657} is an apocalyptic number.

It is an amenable number.

36446402477657 is a deficient number, since it is larger than the sum of its proper divisors (1).

36446402477657 is an equidigital number, since it uses as much as digits as its factorization.

36446402477657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 568995840, while the sum is 65.

The spelling of 36446402477657 in words is "thirty-six trillion, four hundred forty-six billion, four hundred two million, four hundred seventy-seven thousand, six hundred fifty-seven".