13994595215328 has 1536 divisors, whose sum is σ = 50667724800000. Its totient is φ = 3297260888064.

The previous prime is 13994595215327. The next prime is 13994595215333. The reversal of 13994595215328 is 82351259549931.

It is a super-2 number, since 2×13994595215328² (a number of 27 digits) contains 22 as substring.

Its product of digits (104976000) is a multiple of the sum of its prime divisors (375).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13994595215327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 70324598973 + ... + 70324599171.

It is an arithmetic number, because the mean of its divisors is an integer number (32986800000).

Almost surely, 2^{13994595215328} 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 13994595215328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25333862400000).

13994595215328 is an abundant number, since it is smaller than the sum of its proper divisors (36673129584672).

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

13994595215328 is a wasteful number, since it uses less digits than its factorization.

13994595215328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 375 counting only the distinct ones).

The product of its digits is 104976000, while the sum is 66.

The spelling of 13994595215328 in words is "thirteen trillion, nine hundred ninety-four billion, five hundred ninety-five million, two hundred fifteen thousand, three hundred twenty-eight".