14051584668 has 192 divisors, whose sum is σ = 38773002240. Its totient is φ = 3913190400.

The previous prime is 14051584663. The next prime is 14051584699. The reversal of 14051584668 is 86648515041.

It is a super-3 number, since 3×14051584668³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14051584661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27935305 + ... + 27935807.

It is an arithmetic number, because the mean of its divisors is an integer number (201942720).

Almost surely, 2^14051584668 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 14051584668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19386501120).

14051584668 is an abundant number, since it is smaller than the sum of its proper divisors (24721417572).

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

14051584668 is a wasteful number, since it uses less digits than its factorization.

14051584668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 14051584668 in words is "fourteen billion, fifty-one million, five hundred eighty-four thousand, six hundred sixty-eight".