14009014656 has 192 divisors, whose sum is σ = 49615631520. Its totient is φ = 3694657536.

The previous prime is 14009014619. The next prime is 14009014661. The reversal of 14009014656 is 65641090041.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14009014656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38016 + ... + 171648.

Almost surely, 2^14009014656 is an apocalyptic number.

14009014656 is a gapful number since it is divisible by the number (16) 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 14009014656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24807815760).

14009014656 is an abundant number, since it is smaller than the sum of its proper divisors (35606616864).

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

14009014656 is a wasteful number, since it uses less digits than its factorization.

14009014656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133673 (or 133658 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 14009014656 in words is "fourteen billion, nine million, fourteen thousand, six hundred fifty-six".