456597681021289 has 2 divisors, whose sum is σ = 456597681021290. Its totient is φ = 456597681021288.

The previous prime is 456597681021281. The next prime is 456597681021301. The reversal of 456597681021289 is 982120186795654.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 335512195928064 + 121085485093225 = 18316992^2 + 11003885^2 .

It is a cyclic number.

It is not a de Polignac number, because 456597681021289 - 2³ = 456597681021281 is a prime.

It is not a weakly prime, because it can be changed into another prime (456597681021281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228298840510644 + 228298840510645.

It is an arithmetic number, because the mean of its divisors is an integer number (228298840510645).

Almost surely, 2^{456597681021289} is an apocalyptic number.

It is an amenable number.

456597681021289 is a deficient number, since it is larger than the sum of its proper divisors (1).

456597681021289 is an equidigital number, since it uses as much as digits as its factorization.

456597681021289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 522547200, while the sum is 73.

The spelling of 456597681021289 in words is "four hundred fifty-six trillion, five hundred ninety-seven billion, six hundred eighty-one million, twenty-one thousand, two hundred eighty-nine".