465884488564 has 24 divisors (see below), whose sum is σ = 894072485376. Its totient is φ = 210656952000.

The previous prime is 465884488561. The next prime is 465884488603.

465884488564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 465884488493 and 465884488502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465884488561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27709617 + ... + 27726424.

It is an arithmetic number, because the mean of its divisors is an integer number (37253020224).

Almost surely, 2^465884488564 is an apocalyptic number.

465884488564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465884488564 is a deficient number, since it is larger than the sum of its proper divisors (428187996812).

465884488564 is a wasteful number, since it uses less digits than its factorization.

465884488564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55436247 (or 55436245 counting only the distinct ones).

The product of its digits is 943718400, while the sum is 70.

The spelling of 465884488564 in words is "four hundred sixty-five billion, eight hundred eighty-four million, four hundred eighty-eight thousand, five hundred sixty-four".