14625618640 has 80 divisors (see below), whose sum is σ = 34645818240. Its totient is φ = 5740392960.

The previous prime is 14625618611. The next prime is 14625618661. The reversal of 14625618640 is 4681652641.

14625618640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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, 2138907 + ... + 2145733.

It is an arithmetic number, because the mean of its divisors is an integer number (433072728).

Almost surely, 2^14625618640 is an apocalyptic number.

14625618640 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 14625618640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17322909120).

14625618640 is an abundant number, since it is smaller than the sum of its proper divisors (20020199600).

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

14625618640 is a wasteful number, since it uses less digits than its factorization.

14625618640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7340 (or 7334 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 14625618640 in words is "fourteen billion, six hundred twenty-five million, six hundred eighteen thousand, six hundred forty".