14781363456 has 288 divisors, whose sum is σ = 43797196800. Its totient is φ = 4404510720.

The previous prime is 14781363431. The next prime is 14781363469. The reversal of 14781363456 is 65436318741.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23879115 + ... + 23879733.

It is an arithmetic number, because the mean of its divisors is an integer number (152073600).

Almost surely, 2^14781363456 is an apocalyptic number.

14781363456 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 14781363456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21898598400).

14781363456 is an abundant number, since it is smaller than the sum of its proper divisors (29015833344).

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

14781363456 is a wasteful number, since it uses less digits than its factorization.

14781363456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 731 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 14781363456 in words is "fourteen billion, seven hundred eighty-one million, three hundred sixty-three thousand, four hundred fifty-six".