14366642976 has 768 divisors, whose sum is σ = 53932032000. Its totient is φ = 3627970560.

The previous prime is 14366642933. The next prime is 14366643001. The reversal of 14366642976 is 67924666341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 131804010 + ... + 131804118.

It is an arithmetic number, because the mean of its divisors is an integer number (70224000).

Almost surely, 2^14366642976 is an apocalyptic number.

14366642976 is a gapful number since it is divisible by the number (16) 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 14366642976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26966016000).

14366642976 is an abundant number, since it is smaller than the sum of its proper divisors (39565389024).

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

14366642976 is a wasteful number, since it uses less digits than its factorization.

14366642976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 14366642976 in words is "fourteen billion, three hundred sixty-six million, six hundred forty-two thousand, nine hundred seventy-six".