14932817640 has 256 divisors, whose sum is σ = 53764300800. Its totient is φ = 3664852992.

The previous prime is 14932817639. The next prime is 14932817651. The reversal of 14932817640 is 4671823941.

14932817640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5375932 + ... + 5378708.

It is an arithmetic number, because the mean of its divisors is an integer number (210016800).

Almost surely, 2^14932817640 is an apocalyptic number.

14932817640 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 14932817640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26882150400).

14932817640 is an abundant number, since it is smaller than the sum of its proper divisors (38831483160).

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

14932817640 is a wasteful number, since it uses less digits than its factorization.

14932817640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 14932817640 in words is "fourteen billion, nine hundred thirty-two million, eight hundred seventeen thousand, six hundred forty".