456753357601 has 8 divisors (see below), whose sum is σ = 468205705440. Its totient is φ = 445338745152.

The previous prime is 456753357589. The next prime is 456753357607. The reversal of 456753357601 is 106753357654.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456753357601 - 2⁵ = 456753357569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456753357607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9409336 + ... + 9457753.

It is an arithmetic number, because the mean of its divisors is an integer number (58525713180).

Almost surely, 2^456753357601 is an apocalyptic number.

It is an amenable number.

456753357601 is a deficient number, since it is larger than the sum of its proper divisors (11452347839).

456753357601 is a wasteful number, since it uses less digits than its factorization.

456753357601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18867695.

The product of its (nonzero) digits is 7938000, while the sum is 52.

The spelling of 456753357601 in words is "four hundred fifty-six billion, seven hundred fifty-three million, three hundred fifty-seven thousand, six hundred one".