413300532300345 has 128 divisors (see below), whose sum is σ = 798626469888000. Its totient is φ = 202026124131840.

The previous prime is 413300532300343. The next prime is 413300532300347. The reversal of 413300532300345 is 543003235003314.

413300532300345 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 0 + 0 + 5 + 3 + 2 + 300 + 345 = 666.

It is an interprime number because it is at equal distance from previous prime (413300532300343) and next prime (413300532300347).

It is not a de Polignac number, because 413300532300345 - 2¹ = 413300532300343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413300532300343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254353762 + ... + 255973508.

It is an arithmetic number, because the mean of its divisors is an integer number (6239269296000).

Almost surely, 2^{413300532300345} is an apocalyptic number.

413300532300345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413300532300345 is a deficient number, since it is larger than the sum of its proper divisors (385325937587655).

413300532300345 is a wasteful number, since it uses less digits than its factorization.

413300532300345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623020 (or 1623014 counting only the distinct ones).

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

Adding to 413300532300345 its reverse (543003235003314), we get a palindrome (956303767303659).

The spelling of 413300532300345 in words is "four hundred thirteen trillion, three hundred billion, five hundred thirty-two million, three hundred thousand, three hundred forty-five".