108530014323456 has 864 divisors, whose sum is σ = 376043084928000. Its totient is φ = 30762194411520.

The previous prime is 108530014323449. The next prime is 108530014323463. The reversal of 108530014323456 is 654323410035801.

108530014323456 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 30 + 0 + 143 + 23 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (108530014323449) and next prime (108530014323463).

It is a tau number, because it is divible by the number of its divisors (864).

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, 1255321126 + ... + 1255407578.

It is an arithmetic number, because the mean of its divisors is an integer number (435235052000).

Almost surely, 2^{108530014323456} is an apocalyptic number.

108530014323456 is a gapful number since it is divisible by the number (16) 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 108530014323456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188021542464000).

108530014323456 is an abundant number, since it is smaller than the sum of its proper divisors (267513070604544).

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

108530014323456 is a wasteful number, since it uses less digits than its factorization.

108530014323456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86598 (or 86567 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 108530014323456 in words is "one hundred eight trillion, five hundred thirty billion, fourteen million, three hundred twenty-three thousand, four hundred fifty-six".