6456243017553 has 64 divisors (see below), whose sum is σ = 10057722048000. Its totient is φ = 3607945887744.

The previous prime is 6456243017533. The next prime is 6456243017569. The reversal of 6456243017553 is 3557103426546.

It is not a de Polignac number, because 6456243017553 - 2⁶ = 6456243017489 is a prime.

It is a super-2 number, since 2×6456243017553² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6456243017496 and 6456243017505.

It is not an unprimeable number, because it can be changed into a prime (6456243017533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115889401 + ... + 115945097.

It is an arithmetic number, because the mean of its divisors is an integer number (157151907000).

Almost surely, 2^{6456243017553} is an apocalyptic number.

It is an amenable number.

6456243017553 is a deficient number, since it is larger than the sum of its proper divisors (3601479030447).

6456243017553 is a wasteful number, since it uses less digits than its factorization.

6456243017553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56474.

The product of its (nonzero) digits is 9072000, while the sum is 51.

The spelling of 6456243017553 in words is "six trillion, four hundred fifty-six billion, two hundred forty-three million, seventeen thousand, five hundred fifty-three".