114443103984384 has 864 divisors, whose sum is σ = 383987719825920. Its totient is φ = 29599154307072.

The previous prime is 114443103984373. The next prime is 114443103984397. The reversal of 114443103984384 is 483489301344411.

It is a happy number.

It is a super-2 number, since 2×114443103984384² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 5459279887 + ... + 5459300849.

It is an arithmetic number, because the mean of its divisors is an integer number (444430231280).

Almost surely, 2^{114443103984384} is an apocalyptic number.

114443103984384 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 114443103984384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191993859912960).

114443103984384 is an abundant number, since it is smaller than the sum of its proper divisors (269544615841536).

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

114443103984384 is a wasteful number, since it uses less digits than its factorization.

114443103984384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21153 (or 21120 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 114443103984384 in words is "one hundred fourteen trillion, four hundred forty-three billion, one hundred three million, nine hundred eighty-four thousand, three hundred eighty-four".