14013425664 has 288 divisors, whose sum is σ = 46536759360. Its totient is φ = 3979542528.

The previous prime is 14013425641. The next prime is 14013425681. The reversal of 14013425664 is 46652431041.

14013425664 is a `hidden beast` number, since 1 + 40 + 13 + 42 + 566 + 4 = 666.

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

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

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, 40384339 + ... + 40384685.

It is an arithmetic number, because the mean of its divisors is an integer number (161585970).

Almost surely, 2^14013425664 is an apocalyptic number.

14013425664 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 14013425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23268379680).

14013425664 is an abundant number, since it is smaller than the sum of its proper divisors (32523333696).

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

14013425664 is a wasteful number, since it uses less digits than its factorization.

14013425664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 14013425664 in words is "fourteen billion, thirteen million, four hundred twenty-five thousand, six hundred sixty-four".