14354715840 has 224 divisors, whose sum is σ = 50062302720. Its totient is φ = 3468681216.

The previous prime is 14354715811. The next prime is 14354715847. The reversal of 14354715840 is 4851745341.

14354715840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14354715792 and 14354715801.

It is not an unprimeable number, because it can be changed into a prime (14354715847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402412 + ... + 436628.

Almost surely, 2^14354715840 is an apocalyptic number.

14354715840 is a gapful number since it is divisible by the number (10) 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 14354715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25031151360).

14354715840 is an abundant number, since it is smaller than the sum of its proper divisors (35707586880).

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

14354715840 is a wasteful number, since it uses less digits than its factorization.

14354715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34279 (or 34269 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 14354715840 in words is "fourteen billion, three hundred fifty-four million, seven hundred fifteen thousand, eight hundred forty".