14361680679528 has 384 divisors, whose sum is σ = 45186753830400. Its totient is φ = 3770231463936.

The previous prime is 14361680679509. The next prime is 14361680679571. The reversal of 14361680679528 is 82597608616341.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3704326326 + ... + 3704330202.

It is an arithmetic number, because the mean of its divisors is an integer number (117673838100).

It is a 1-persistent number, because it is pandigital, but 2⋅14361680679528 = 28723361359056 is not.

Almost surely, 2^{14361680679528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14361680679528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22593376915200).

14361680679528 is an abundant number, since it is smaller than the sum of its proper divisors (30825073150872).

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

14361680679528 is a wasteful number, since it uses less digits than its factorization.

14361680679528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4969 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 14361680679528 in words is "fourteen trillion, three hundred sixty-one billion, six hundred eighty million, six hundred seventy-nine thousand, five hundred twenty-eight".