13951484314014 has 256 divisors, whose sum is σ = 33294204518400. Its totient is φ = 3859657910784.

The previous prime is 13951484314003. The next prime is 13951484314021. The reversal of 13951484314014 is 41041348415931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 359527137 + ... + 359565939.

It is an arithmetic number, because the mean of its divisors is an integer number (130055486400).

Almost surely, 2^{13951484314014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13951484314014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16647102259200).

13951484314014 is an abundant number, since it is smaller than the sum of its proper divisors (19342720204386).

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

13951484314014 is a wasteful number, since it uses less digits than its factorization.

13951484314014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39039.

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 13951484314014 in words is "thirteen trillion, nine hundred fifty-one billion, four hundred eighty-four million, three hundred fourteen thousand, fourteen".