14034108780384 has 384 divisors, whose sum is σ = 47423857065984. Its totient is φ = 3526709760000.

The previous prime is 14034108780361. The next prime is 14034108780397. The reversal of 14034108780384 is 48308780143041.

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, 1424633059 + ... + 1424642909.

It is an arithmetic number, because the mean of its divisors is an integer number (123499627776).

Almost surely, 2^{14034108780384} is an apocalyptic number.

14034108780384 is a gapful number since it is divisible by the number (14) 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 14034108780384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23711928532992).

14034108780384 is an abundant number, since it is smaller than the sum of its proper divisors (33389748285600).

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

14034108780384 is a wasteful number, since it uses less digits than its factorization.

14034108780384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16130 (or 16122 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 14034108780384 in words is "fourteen trillion, thirty-four billion, one hundred eight million, seven hundred eighty thousand, three hundred eighty-four".