14978973825 has 72 divisors (see below), whose sum is σ = 27547674336. Its totient is φ = 7775712000.

The previous prime is 14978973727. The next prime is 14978973827. The reversal of 14978973825 is 52837987941.

14978973825 is a `hidden beast` number, since 1 + 497 + 8 + 97 + 38 + 25 = 666.

It is not a de Polignac number, because 14978973825 - 2¹⁹ = 14978449537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14978973827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4527822 + ... + 4531128.

It is an arithmetic number, because the mean of its divisors is an integer number (382606588).

Almost surely, 2^14978973825 is an apocalyptic number.

14978973825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14978973825 is a deficient number, since it is larger than the sum of its proper divisors (12568700511).

14978973825 is a wasteful number, since it uses less digits than its factorization.

14978973825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3847 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 14978973825 in words is "fourteen billion, nine hundred seventy-eight million, nine hundred seventy-three thousand, eight hundred twenty-five".