14930044416 has 720 divisors, whose sum is σ = 54336522240. Its totient is φ = 4075868160.

The previous prime is 14930044379. The next prime is 14930044421. The reversal of 14930044416 is 61444003941.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 188987865 + ... + 188987943.

It is an arithmetic number, because the mean of its divisors is an integer number (75467392).

Almost surely, 2^14930044416 is an apocalyptic number.

14930044416 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 14930044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27168261120).

14930044416 is an abundant number, since it is smaller than the sum of its proper divisors (39406477824).

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

14930044416 is an frugal number, since it uses more digits than its factorization.

14930044416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 14930044416 in words is "fourteen billion, nine hundred thirty million, forty-four thousand, four hundred sixteen".