46564233246564 has 24 divisors (see below), whose sum is σ = 118527139173408. Its totient is φ = 14110373711040.

The previous prime is 46564233246563. The next prime is 46564233246577.

46564233246564 is nontrivially palindromic in base 10.

46564233246564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46564233246498 and 46564233246507.

It is not an unprimeable number, because it can be changed into a prime (46564233246563) 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, 176379671257 + ... + 176379671520.

It is an arithmetic number, because the mean of its divisors is an integer number (4938630798892).

Almost surely, 2^{46564233246564} is an apocalyptic number.

46564233246564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46564233246564 is an abundant number, since it is smaller than the sum of its proper divisors (71962905926844).

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

46564233246564 is a wasteful number, since it uses less digits than its factorization.

46564233246564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352759342795 (or 352759342793 counting only the distinct ones).

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

The spelling of 46564233246564 in words is "forty-six trillion, five hundred sixty-four billion, two hundred thirty-three million, two hundred forty-six thousand, five hundred sixty-four".