14121306156768 has 96 divisors (see below), whose sum is σ = 37527208346880. Its totient is φ = 4648963630080.

The previous prime is 14121306156739. The next prime is 14121306156779. The reversal of 14121306156768 is 86765160312141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×14121306156768² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14121306156768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6646863 + ... + 8510193.

It is an arithmetic number, because the mean of its divisors is an integer number (390908420280).

Almost surely, 2^{14121306156768} 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 14121306156768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18763604173440).

14121306156768 is an abundant number, since it is smaller than the sum of its proper divisors (23405902190112).

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

14121306156768 is a wasteful number, since it uses less digits than its factorization.

14121306156768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864320 (or 1864312 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 14121306156768 in words is "fourteen trillion, one hundred twenty-one billion, three hundred six million, one hundred fifty-six thousand, seven hundred sixty-eight".