14001876496608 has 384 divisors, whose sum is σ = 49461832949760. Its totient is φ = 3349436037120.

The previous prime is 14001876496607. The next prime is 14001876496627. The reversal of 14001876496608 is 80669467810041.

14001876496608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001876496603) 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, 42020191 + ... + 42352097.

It is an arithmetic number, because the mean of its divisors is an integer number (128806856640).

Almost surely, 2^{14001876496608} 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 14001876496608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24730916474880).

14001876496608 is an abundant number, since it is smaller than the sum of its proper divisors (35459956453152).

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

14001876496608 is a wasteful number, since it uses less digits than its factorization.

14001876496608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332390 (or 332382 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 14001876496608 in words is "fourteen trillion, one billion, eight hundred seventy-six million, four hundred ninety-six thousand, six hundred eight".