14746914720 has 144 divisors (see below), whose sum is σ = 50436214920. Its totient is φ = 3923730432.

The previous prime is 14746914703. The next prime is 14746914773. The reversal of 14746914720 is 2741964741.

14746914720 is a `hidden beast` number, since 1 + 47 + 469 + 147 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13991104656 + 755810064 = 118284^2 + 27492^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 646876 + ... + 669284.

Almost surely, 2^14746914720 is an apocalyptic number.

14746914720 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 14746914720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25218107460).

14746914720 is an abundant number, since it is smaller than the sum of its proper divisors (35689300200).

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

14746914720 is a wasteful number, since it uses less digits than its factorization.

14746914720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22887 (or 22876 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 14746914720 in words is "fourteen billion, seven hundred forty-six million, nine hundred fourteen thousand, seven hundred twenty".