14248000734744 has 128 divisors (see below), whose sum is σ = 41175195955200. Its totient is φ = 4024215613440.

The previous prime is 14248000734719. The next prime is 14248000734749. The reversal of 14248000734744 is 44743700084241.

14248000734744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14248000734693 and 14248000734702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14248000734749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68091609 + ... + 68300535.

It is an arithmetic number, because the mean of its divisors is an integer number (321681218400).

Almost surely, 2^{14248000734744} is an apocalyptic number.

14248000734744 is a gapful number since it is divisible by the number (14) 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 14248000734744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20587597977600).

14248000734744 is an abundant number, since it is smaller than the sum of its proper divisors (26927195220456).

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

14248000734744 is a wasteful number, since it uses less digits than its factorization.

14248000734744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213593 (or 213589 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 48.

The spelling of 14248000734744 in words is "fourteen trillion, two hundred forty-eight billion, seven hundred thirty-four thousand, seven hundred forty-four".