14097499975680 has 416 divisors, whose sum is σ = 49694522830848. Its totient is φ = 3383721984000.

The previous prime is 14097499975631. The next prime is 14097499975681. The reversal of 14097499975680 is 8657999479041.

It is a junction number, because it is equal to n+sod(n) for n = 14097499975596 and 14097499975605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14097499975681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 68156577 + ... + 68363103.

Almost surely, 2^{14097499975680} is an apocalyptic number.

14097499975680 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 14097499975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24847261415424).

14097499975680 is an abundant number, since it is smaller than the sum of its proper divisors (35597022855168).

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

14097499975680 is a wasteful number, since it uses less digits than its factorization.

14097499975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206671 (or 206649 counting only the distinct ones).

The product of its (nonzero) digits is 1234517760, while the sum is 78.

The spelling of 14097499975680 in words is "fourteen trillion, ninety-seven billion, four hundred ninety-nine million, nine hundred seventy-five thousand, six hundred eighty".