14625152640 has 640 divisors, whose sum is σ = 61208421120. Its totient is φ = 3258040320.

The previous prime is 14625152639. The next prime is 14625152653. The reversal of 14625152640 is 4625152641.

14625152640 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 5 + 1 + 5 + 2 + 640 = 666.

14625152640 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 (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14625152595 and 14625152604.

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 79 ways as a sum of consecutive naturals, for example, 14877589 + ... + 14878571.

It is an arithmetic number, because the mean of its divisors is an integer number (95638158).

Almost surely, 2^14625152640 is an apocalyptic number.

14625152640 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 14625152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30604210560).

14625152640 is an abundant number, since it is smaller than the sum of its proper divisors (46583268480).

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

14625152640 is an equidigital number, since it uses as much as digits as its factorization.

14625152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Subtracting from 14625152640 its reverse (4625152641), we obtain a palindrome (9999999999).

It can be divided in two parts, 146251 and 52640, that added together give a palindrome (198891).

The spelling of 14625152640 in words is "fourteen billion, six hundred twenty-five million, one hundred fifty-two thousand, six hundred forty".