465724343427564 has 24 divisors (see below), whose sum is σ = 1170281683485040. Its totient is φ = 143299797977664.

The previous prime is 465724343427509. The next prime is 465724343427601.

It is a happy number.

465724343427564 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×465724343427564² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 465724343427495 and 465724343427504.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1492706228779 + ... + 1492706229090.

Almost surely, 2^{465724343427564} is an apocalyptic number.

It is an amenable number.

465724343427564 is an abundant number, since it is smaller than the sum of its proper divisors (704557340057476).

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

465724343427564 is a wasteful number, since it uses less digits than its factorization.

465724343427564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985412457889 (or 2985412457887 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 66.

The spelling of 465724343427564 in words is "four hundred sixty-five trillion, seven hundred twenty-four billion, three hundred forty-three million, four hundred twenty-seven thousand, five hundred sixty-four".