14969930976 has 768 divisors, whose sum is σ = 61776691200. Its totient is φ = 3396556800.

The previous prime is 14969930959. The next prime is 14969930977. The reversal of 14969930976 is 67903996941.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14969930977) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16431961 + ... + 16432871.

It is an arithmetic number, because the mean of its divisors is an integer number (80438400).

Almost surely, 2^14969930976 is an apocalyptic number.

14969930976 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 14969930976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30888345600).

14969930976 is an abundant number, since it is smaller than the sum of its proper divisors (46806760224).

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

14969930976 is a wasteful number, since it uses less digits than its factorization.

14969930976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 63.

The spelling of 14969930976 in words is "fourteen billion, nine hundred sixty-nine million, nine hundred thirty thousand, nine hundred seventy-six".