456315456454363 has 8 divisors (see below), whose sum is σ = 508390141040640. Its totient is φ = 406006015413480.

The previous prime is 456315456454343. The next prime is 456315456454393. The reversal of 456315456454363 is 363454654513654.

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 456315456454363 - 2¹⁷ = 456315456323291 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456315456454295 and 456315456454304.

It is not an unprimeable number, because it can be changed into a prime (456315456454343) 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, 441310885803 + ... + 441310886836.

It is an arithmetic number, because the mean of its divisors is an integer number (63548767630080).

Almost surely, 2^{456315456454363} is an apocalyptic number.

456315456454363 is a deficient number, since it is larger than the sum of its proper divisors (52074684586277).

456315456454363 is a wasteful number, since it uses less digits than its factorization.

456315456454363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882621772697.

The product of its digits is 933120000, while the sum is 64.

The spelling of 456315456454363 in words is "four hundred fifty-six trillion, three hundred fifteen billion, four hundred fifty-six million, four hundred fifty-four thousand, three hundred sixty-three".