456661307413 has 2 divisors, whose sum is σ = 456661307414. Its totient is φ = 456661307412.

The previous prime is 456661307393. The next prime is 456661307423. The reversal of 456661307413 is 314703166654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 438167211364 + 18494096049 = 661942^2 + 135993^2 .

It is a cyclic number.

It is not a de Polignac number, because 456661307413 - 2⁹ = 456661306901 is a prime.

It is a super-3 number, since 3×456661307413³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456661307423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228330653706 + 228330653707.

It is an arithmetic number, because the mean of its divisors is an integer number (228330653707).

Almost surely, 2^456661307413 is an apocalyptic number.

It is an amenable number.

456661307413 is a deficient number, since it is larger than the sum of its proper divisors (1).

456661307413 is an equidigital number, since it uses as much as digits as its factorization.

456661307413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 456661307413 in words is "four hundred fifty-six billion, six hundred sixty-one million, three hundred seven thousand, four hundred thirteen".