14743723680 has 864 divisors, whose sum is σ = 62114532480. Its totient is φ = 3292047360.

The previous prime is 14743723669. The next prime is 14743723681. The reversal of 14743723680 is 8632734741.

14743723680 is a `hidden beast` number, since 1 + 474 + 3 + 72 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14743723681) 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 143 ways as a sum of consecutive naturals, for example, 135263466 + ... + 135263574.

It is an arithmetic number, because the mean of its divisors is an integer number (71891820).

Almost surely, 2^14743723680 is an apocalyptic number.

14743723680 is a gapful number since it is divisible by the number (10) 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 14743723680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31057266240).

14743723680 is an abundant number, since it is smaller than the sum of its proper divisors (47370808800).

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

14743723680 is a wasteful number, since it uses less digits than its factorization.

14743723680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 14743723680 in words is "fourteen billion, seven hundred forty-three million, seven hundred twenty-three thousand, six hundred eighty".