14376814368 has 192 divisors, whose sum is σ = 43905576960. Its totient is φ = 4034414592.

The previous prime is 14376814367. The next prime is 14376814429. The reversal of 14376814368 is 86341867341.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14376814368.

It is not an unprimeable number, because it can be changed into a prime (14376814367) 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, 12050380 + ... + 12051572.

It is an arithmetic number, because the mean of its divisors is an integer number (228674880).

Almost surely, 2^14376814368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14376814368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21952788480).

14376814368 is an abundant number, since it is smaller than the sum of its proper divisors (29528762592).

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

14376814368 is a wasteful number, since it uses less digits than its factorization.

14376814368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1511 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The spelling of 14376814368 in words is "fourteen billion, three hundred seventy-six million, eight hundred fourteen thousand, three hundred sixty-eight".