109314509784480 has 4608 divisors, whose sum is σ = 544989222715392. Its totient is φ = 19196293939200.

The previous prime is 109314509784461. The next prime is 109314509784481. The reversal of 109314509784480 is 84487905413901.

109314509784480 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 1 + 4 + 509 + 7 + 8 + 44 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (109314509784481) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 144404900262 + ... + 144404901018.

It is an arithmetic number, because the mean of its divisors is an integer number (118270230624).

Almost surely, 2^{109314509784480} is an apocalyptic number.

109314509784480 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 109314509784480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272494611357696).

109314509784480 is an abundant number, since it is smaller than the sum of its proper divisors (435674712930912).

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

109314509784480 is a wasteful number, since it uses less digits than its factorization.

109314509784480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 109314509784480 in words is "one hundred nine trillion, three hundred fourteen billion, five hundred nine million, seven hundred eighty-four thousand, four hundred eighty".