14800379616 has 336 divisors, whose sum is σ = 48120872688. Its totient is φ = 4441651200.

The previous prime is 14800379603. The next prime is 14800379617. The reversal of 14800379616 is 61697300841.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14800379617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 35155086 + ... + 35155506.

It is an arithmetic number, because the mean of its divisors is an integer number (143216883).

Almost surely, 2^14800379616 is an apocalyptic number.

14800379616 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 14800379616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24060436344).

14800379616 is an abundant number, since it is smaller than the sum of its proper divisors (33320493072).

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

14800379616 is a wasteful number, since it uses less digits than its factorization.

14800379616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 14800379616 in words is "fourteen billion, eight hundred million, three hundred seventy-nine thousand, six hundred sixteen".