14291031001104 has 405 divisors, whose sum is σ = 47624886493821. Its totient is φ = 3995676622080.

The previous prime is 14291031001081. The next prime is 14291031001139. The reversal of 14291031001104 is 40110013019241.

The square root of 14291031001104 is 3780348.

It is a perfect power (a square), and thus also a powerful number.

14291031001104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2114057840400 + 12176973160704 = 1453980^2 + 3489552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6487076067 + ... + 6487078269.

Almost surely, 2^{14291031001104} is an apocalyptic number.

14291031001104 is the 3780348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14291031001104

14291031001104 is an abundant number, since it is smaller than the sum of its proper divisors (33333855492717).

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

14291031001104 is a wasteful number, since it uses less digits than its factorization.

14291031001104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 14291031001104 in words is "fourteen trillion, two hundred ninety-one billion, thirty-one million, one thousand, one hundred four".