14319975169920 has 512 divisors, whose sum is σ = 55606339584000. Its totient is φ = 3061611012096.

The previous prime is 14319975169919. The next prime is 14319975169957. The reversal of 14319975169920 is 2996157991341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19818519 + ... + 20528361.

It is an arithmetic number, because the mean of its divisors is an integer number (108606132000).

Almost surely, 2^{14319975169920} is an apocalyptic number.

14319975169920 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 14319975169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27803169792000).

14319975169920 is an abundant number, since it is smaller than the sum of its proper divisors (41286364414080).

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

14319975169920 is a wasteful number, since it uses less digits than its factorization.

14319975169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709970 (or 709958 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 66.

The spelling of 14319975169920 in words is "fourteen trillion, three hundred nineteen billion, nine hundred seventy-five million, one hundred sixty-nine thousand, nine hundred twenty".