14378313456 has 320 divisors, whose sum is σ = 45438758400. Its totient is φ = 4326690816.

The previous prime is 14378313451. The next prime is 14378313487. The reversal of 14378313456 is 65431387341.

14378313456 is a `hidden beast` number, since 1 + 437 + 83 + 134 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14378313451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88210431 + ... + 88210593.

It is an arithmetic number, because the mean of its divisors is an integer number (141996120).

Almost surely, 2^14378313456 is an apocalyptic number.

14378313456 is a gapful number since it is divisible by the number (16) 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 14378313456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22719379200).

14378313456 is an abundant number, since it is smaller than the sum of its proper divisors (31060444944).

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

14378313456 is a wasteful number, since it uses less digits than its factorization.

14378313456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 433 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 14378313456 in words is "fourteen billion, three hundred seventy-eight million, three hundred thirteen thousand, four hundred fifty-six".