456807135712601 has 16 divisors (see below), whose sum is σ = 486401630040000. Its totient is φ = 427770826914816.

The previous prime is 456807135712597. The next prime is 456807135712619. The reversal of 456807135712601 is 106217531708654.

It is a cyclic number.

It is not a de Polignac number, because 456807135712601 - 2² = 456807135712597 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456807135712691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35934296 + ... + 46956233.

It is an arithmetic number, because the mean of its divisors is an integer number (30400101877500).

Almost surely, 2^{456807135712601} is an apocalyptic number.

It is an amenable number.

456807135712601 is a deficient number, since it is larger than the sum of its proper divisors (29594494327399).

456807135712601 is a wasteful number, since it uses less digits than its factorization.

456807135712601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82893896.

The product of its (nonzero) digits is 8467200, while the sum is 56.

The spelling of 456807135712601 in words is "four hundred fifty-six trillion, eight hundred seven billion, one hundred thirty-five million, seven hundred twelve thousand, six hundred one".