14829071336064 has 96 divisors (see below), whose sum is σ = 42673214237940. Its totient is φ = 4942905999360.

The previous prime is 14829071335993. The next prime is 14829071336081. The reversal of 14829071336064 is 46063317092841.

14829071336064 is a `hidden beast` number, since 1 + 4 + 8 + 29 + 0 + 7 + 1 + 3 + 3 + 606 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11562665753664 + 3266405582400 = 3400392^2 + 1807320^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 14829071336064.

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 11 ways as a sum of consecutive naturals, for example, 57675634 + ... + 57932174.

Almost surely, 2^{14829071336064} is an apocalyptic number.

It is an amenable number.

14829071336064 is an abundant number, since it is smaller than the sum of its proper divisors (27844142901876).

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

14829071336064 is a wasteful number, since it uses less digits than its factorization.

14829071336064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306738 (or 306723 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 14829071336064 in words is "fourteen trillion, eight hundred twenty-nine billion, seventy-one million, three hundred thirty-six thousand, sixty-four".