14348920608 has 288 divisors, whose sum is σ = 46429044480. Its totient is φ = 4323144960.

The previous prime is 14348920541. The next prime is 14348920667. The reversal of 14348920608 is 80602984341.

It is a happy number.

14348920608 is a `hidden beast` number, since 1 + 4 + 34 + 8 + 9 + 2 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×14348920608³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19416303 + ... + 19417041.

It is an arithmetic number, because the mean of its divisors is an integer number (161211960).

Almost surely, 2^14348920608 is an apocalyptic number.

14348920608 is a gapful number since it is divisible by the number (18) 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 14348920608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23214522240).

14348920608 is an abundant number, since it is smaller than the sum of its proper divisors (32080123872).

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

14348920608 is a wasteful number, since it uses less digits than its factorization.

14348920608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 14348920608 in words is "fourteen billion, three hundred forty-eight million, nine hundred twenty thousand, six hundred eight".