14945865792 has 672 divisors, whose sum is σ = 51487011072. Its totient is φ = 3784704000.

The previous prime is 14945865761. The next prime is 14945865811. The reversal of 14945865792 is 29756854941.

14945865792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 210505117 + ... + 210505187.

It is an arithmetic number, because the mean of its divisors is an integer number (76617576).

Almost surely, 2^14945865792 is an apocalyptic number.

14945865792 is a gapful number since it is divisible by the number (12) 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 14945865792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25743505536).

14945865792 is an abundant number, since it is smaller than the sum of its proper divisors (36541145280).

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

14945865792 is a wasteful number, since it uses less digits than its factorization.

14945865792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 60.

The spelling of 14945865792 in words is "fourteen billion, nine hundred forty-five million, eight hundred sixty-five thousand, seven hundred ninety-two".