13332342008304 has 320 divisors, whose sum is σ = 42901059156480. Its totient is φ = 3928619335680.

The previous prime is 13332342008299. The next prime is 13332342008329. The reversal of 13332342008304 is 40380024323331.

13332342008304 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 2 + 342 + 0 + 0 + 8 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314176272 + ... + 314218704.

It is an arithmetic number, because the mean of its divisors is an integer number (134065809864).

Almost surely, 2^{13332342008304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13332342008304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21450529578240).

13332342008304 is an abundant number, since it is smaller than the sum of its proper divisors (29568717148176).

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

13332342008304 is a wasteful number, since it uses less digits than its factorization.

13332342008304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44285 (or 44273 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 13332342008304 in words is "thirteen trillion, three hundred thirty-two billion, three hundred forty-two million, eight thousand, three hundred four".