14745756240 has 80 divisors (see below), whose sum is σ = 50790945600. Its totient is φ = 3932201088.

The previous prime is 14745756239. The next prime is 14745756241. The reversal of 14745756240 is 4265754741.

14745756240 is a `hidden beast` number, since 1 + 4 + 7 + 45 + 7 + 562 + 40 = 666.

14745756240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14745756239) and next prime (14745756241).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14745756241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3411210 + ... + 3415529.

It is an arithmetic number, because the mean of its divisors is an integer number (634886820).

Almost surely, 2^14745756240 is an apocalyptic number.

14745756240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14745756240 is an abundant number, since it is smaller than the sum of its proper divisors (36045189360).

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

14745756240 is a wasteful number, since it uses less digits than its factorization.

14745756240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6826761 (or 6826749 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 14745756240 in words is "fourteen billion, seven hundred forty-five million, seven hundred fifty-six thousand, two hundred forty".