464603545306464 has 48 divisors (see below), whose sum is σ = 1221170242002480. Its totient is φ = 154666459791360.

The previous prime is 464603545306447. The next prime is 464603545306469.

464603545306464 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×464603545306464² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 464603545306398 and 464603545306407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464603545306469) 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 7 ways as a sum of consecutive naturals, for example, 3146623357 + ... + 3146771004.

It is an arithmetic number, because the mean of its divisors is an integer number (25441046708385).

Almost surely, 2^{464603545306464} is an apocalyptic number.

It is an amenable number.

464603545306464 is an abundant number, since it is smaller than the sum of its proper divisors (756566696696016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

464603545306464 is a wasteful number, since it uses less digits than its factorization.

464603545306464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6293395143 (or 6293395135 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 60.

The spelling of 464603545306464 in words is "four hundred sixty-four trillion, six hundred three billion, five hundred forty-five million, three hundred six thousand, four hundred sixty-four".