456760780601 has 12 divisors (see below), whose sum is σ = 464342208000. Its totient is φ = 449299550280.

The previous prime is 456760780591. The next prime is 456760780627. The reversal of 456760780601 is 106087067654.

It is not a de Polignac number, because 456760780601 - 2¹⁰ = 456760779577 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 456760780601.

It is not an unprimeable number, because it can be changed into a prime (456760780681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2109800 + ... + 2316198.

It is an arithmetic number, because the mean of its divisors is an integer number (38695184000).

Almost surely, 2^456760780601 is an apocalyptic number.

It is an amenable number.

456760780601 is a deficient number, since it is larger than the sum of its proper divisors (7581427399).

456760780601 is an equidigital number, since it uses as much as digits as its factorization.

456760780601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206980 (or 206909 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 456760780601 in words is "four hundred fifty-six billion, seven hundred sixty million, seven hundred eighty thousand, six hundred one".