465444005446656 has 132 divisors (see below), whose sum is σ = 1390302895569900. Its totient is φ = 149798070632448.

The previous prime is 465444005446649. The next prime is 465444005446699. The reversal of 465444005446656 is 656644500444564.

465444005446656 is a `hidden beast` number, since 4 + 6 + 5 + 44 + 40 + 0 + 544 + 6 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 321915938144256 + 143528067302400 = 17942016^2 + 11980320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 465444005446593 and 465444005446602.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870489751 + ... + 871024278.

Almost surely, 2^{465444005446656} is an apocalyptic number.

It is an amenable number.

465444005446656 is an abundant number, since it is smaller than the sum of its proper divisors (924858890123244).

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

465444005446656 is a wasteful number, since it uses less digits than its factorization.

465444005446656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741514084 (or 1741514063 counting only the distinct ones).

The product of its (nonzero) digits is 663552000, while the sum is 63.

The spelling of 465444005446656 in words is "four hundred sixty-five trillion, four hundred forty-four billion, five million, four hundred forty-six thousand, six hundred fifty-six".