13994625284952 has 512 divisors, whose sum is σ = 42076153728000. Its totient is φ = 3837987299328.

The previous prime is 13994625284929. The next prime is 13994625284971. The reversal of 13994625284952 is 25948252649931.

13994625284952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13994625284952³ (a number of 40 digits) contains 333 as substring.

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, 31590576043 + ... + 31590576485.

It is an arithmetic number, because the mean of its divisors is an integer number (82179987750).

Almost surely, 2^{13994625284952} is an apocalyptic number.

13994625284952 is a gapful number since it is divisible by the number (12) 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 13994625284952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21038076864000).

13994625284952 is an abundant number, since it is smaller than the sum of its proper divisors (28081528443048).

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

13994625284952 is a wasteful number, since it uses less digits than its factorization.

13994625284952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 566 counting only the distinct ones).

The product of its digits is 335923200, while the sum is 69.

The spelling of 13994625284952 in words is "thirteen trillion, nine hundred ninety-four billion, six hundred twenty-five million, two hundred eighty-four thousand, nine hundred fifty-two".