46583438564 has 48 divisors (see below), whose sum is σ = 89475595440. Its totient is φ = 21091622400.

The previous prime is 46583438513. The next prime is 46583438597.

46583438564 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 8464000000 + 38119438564 = 92000^2 + 195242^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 531782 + ... + 613154.

It is an arithmetic number, because the mean of its divisors is an integer number (1864074905).

Almost surely, 2^46583438564 is an apocalyptic number.

It is an amenable number.

46583438564 is a deficient number, since it is larger than the sum of its proper divisors (42892156876).

46583438564 is a wasteful number, since it uses less digits than its factorization.

46583438564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81600 (or 81598 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 56.

The spelling of 46583438564 in words is "forty-six billion, five hundred eighty-three million, four hundred thirty-eight thousand, five hundred sixty-four".