14295416955764 has 96 divisors (see below), whose sum is σ = 29643388938240. Its totient is φ = 5902817587200.

The previous prime is 14295416955751. The next prime is 14295416955779. The reversal of 14295416955764 is 46755961459241.

14295416955764 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 = 14295416955694 and 14295416955703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1137348872 + ... + 1137361440.

It is an arithmetic number, because the mean of its divisors is an integer number (308785301440).

Almost surely, 2^{14295416955764} is an apocalyptic number.

14295416955764 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 14295416955764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14821694469120).

14295416955764 is an abundant number, since it is smaller than the sum of its proper divisors (15347971982476).

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

14295416955764 is a wasteful number, since it uses less digits than its factorization.

14295416955764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18289 (or 18287 counting only the distinct ones).

The product of its digits is 326592000, while the sum is 68.

The spelling of 14295416955764 in words is "fourteen trillion, two hundred ninety-five billion, four hundred sixteen million, nine hundred fifty-five thousand, seven hundred sixty-four".