14454956736 has 280 divisors, whose sum is σ = 48361793040. Its totient is φ = 4228761600.

The previous prime is 14454956713. The next prime is 14454956779. The reversal of 14454956736 is 63765945441.

It is a happy number.

14454956736 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 49 + 567 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1649326 + ... + 1658066.

Almost surely, 2^14454956736 is an apocalyptic number.

14454956736 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 14454956736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24180896520).

14454956736 is an abundant number, since it is smaller than the sum of its proper divisors (33906836304).

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

14454956736 is a wasteful number, since it uses less digits than its factorization.

14454956736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8805 (or 8786 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 14454956736 in words is "fourteen billion, four hundred fifty-four million, nine hundred fifty-six thousand, seven hundred thirty-six".