14064411023160 has 512 divisors, whose sum is σ = 46661680834560. Its totient is φ = 3376576659456.

The previous prime is 14064411023153. The next prime is 14064411023161. The reversal of 14064411023160 is 6132011446041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14064411023161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2868529269 + ... + 2868534171.

It is an arithmetic number, because the mean of its divisors is an integer number (91136095380).

Almost surely, 2^{14064411023160} is an apocalyptic number.

14064411023160 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 14064411023160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23330840417280).

14064411023160 is an abundant number, since it is smaller than the sum of its proper divisors (32597269811400).

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

14064411023160 is a wasteful number, since it uses less digits than its factorization.

14064411023160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5647 (or 5643 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 14064411023160 in words is "fourteen trillion, sixty-four billion, four hundred eleven million, twenty-three thousand, one hundred sixty".