13447241034304 has 189 divisors, whose sum is σ = 34125179362281. Its totient is φ = 5238304727040.

The previous prime is 13447241034277. The next prime is 13447241034317. The reversal of 13447241034304 is 40343014274431.

The square root of 13447241034304 is 3667048.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 112707918400 + 13334533115904 = 335720^2 + 3651648^2 .

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 26 ways as a sum of consecutive naturals, for example, 2258898592 + ... + 2258904544.

Almost surely, 2^{13447241034304} is an apocalyptic number.

13447241034304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13447241034304 is the 3667048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13447241034304

13447241034304 is an abundant number, since it is smaller than the sum of its proper divisors (20677938327977).

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

13447241034304 is an frugal number, since it uses more digits than its factorization.

13447241034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11954 (or 5973 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 40.

The spelling of 13447241034304 in words is "thirteen trillion, four hundred forty-seven billion, two hundred forty-one million, thirty-four thousand, three hundred four".