14805974016 has 352 divisors, whose sum is σ = 47015496000. Its totient is φ = 4602396672.

The previous prime is 14805973961. The next prime is 14805974089. The reversal of 14805974016 is 61047950841.

14805974016 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 597 + 40 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135834570 + ... + 135834678.

It is an arithmetic number, because the mean of its divisors is an integer number (133566750).

Almost surely, 2^14805974016 is an apocalyptic number.

14805974016 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 14805974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23507748000).

14805974016 is an abundant number, since it is smaller than the sum of its proper divisors (32209521984).

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

14805974016 is an equidigital number, since it uses as much as digits as its factorization.

14805974016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 14805974016 in words is "fourteen billion, eight hundred five million, nine hundred seventy-four thousand, sixteen".