14070313983264 has 768 divisors, whose sum is σ = 47621537832960. Its totient is φ = 3532419072000.

The previous prime is 14070313983221. The next prime is 14070313983277. The reversal of 14070313983264 is 46238931307041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6934604202 + ... + 6934606230.

It is an arithmetic number, because the mean of its divisors is an integer number (62007210720).

Almost surely, 2^{14070313983264} is an apocalyptic number.

14070313983264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14070313983264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23810768916480).

14070313983264 is an abundant number, since it is smaller than the sum of its proper divisors (33551223849696).

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

14070313983264 is a wasteful number, since it uses less digits than its factorization.

14070313983264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 14070313983264 in words is "fourteen trillion, seventy billion, three hundred thirteen million, nine hundred eighty-three thousand, two hundred sixty-four".