10004533332345 has 24 divisors (see below), whose sum is σ = 17350371347400. Its totient is φ = 5332926422016.

The previous prime is 10004533332337. The next prime is 10004533332403. The reversal of 10004533332345 is 54323333540001.

10004533332345 is a `hidden beast` number, since 100 + 0 + 453 + 33 + 32 + 3 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22826072889 + 9981707259456 = 151083^2 + 3159384^2 .

It is not a de Polignac number, because 10004533332345 - 2³ = 10004533332337 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 58761730 + ... + 58931739.

It is an arithmetic number, because the mean of its divisors is an integer number (722932139475).

Almost surely, 2^{10004533332345} is an apocalyptic number.

10004533332345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10004533332345 is a deficient number, since it is larger than the sum of its proper divisors (7345838015055).

10004533332345 is a wasteful number, since it uses less digits than its factorization.

10004533332345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117695369 (or 117695366 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 10004533332345 its reverse (54323333540001), we get a palindrome (64327866872346).

The spelling of 10004533332345 in words is "ten trillion, four billion, five hundred thirty-three million, three hundred thirty-two thousand, three hundred forty-five".