323005131503145 has 64 divisors (see below), whose sum is σ = 706746270666240. Its totient is φ = 136301066475264.

The previous prime is 323005131502981. The next prime is 323005131503149. The reversal of 323005131503145 is 541305131500323.

323005131503145 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 0 + 5 + 1 + 3 + 1 + 503 + 145 = 666.

It is not a de Polignac number, because 323005131503145 - 2¹⁴ = 323005131486761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (323005131503149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13146309714 + ... + 13146334283.

It is an arithmetic number, because the mean of its divisors is an integer number (11042910479160).

Almost surely, 2^{323005131503145} is an apocalyptic number.

323005131503145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

323005131503145 is an abundant number, since it is smaller than the sum of its proper divisors (383741139163095).

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

323005131503145 is a wasteful number, since it uses less digits than its factorization.

323005131503145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26292644031 (or 26292644025 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 323005131503145 in words is "three hundred twenty-three trillion, five billion, one hundred thirty-one million, five hundred three thousand, one hundred forty-five".