108523616544 has 288 divisors, whose sum is σ = 364651822080. Its totient is φ = 29959372800.

The previous prime is 108523616527. The next prime is 108523616561. The reversal of 108523616544 is 445616325801.

108523616544 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 23 + 616 + 5 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (108523616527) and next prime (108523616561).

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 108523616544.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63057604 + ... + 63059324.

It is an arithmetic number, because the mean of its divisors is an integer number (1266152160).

Almost surely, 2^108523616544 is an apocalyptic number.

108523616544 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 108523616544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182325911040).

108523616544 is an abundant number, since it is smaller than the sum of its proper divisors (256128205536).

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

108523616544 is a wasteful number, since it uses less digits than its factorization.

108523616544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 108523616544 in words is "one hundred eight billion, five hundred twenty-three million, six hundred sixteen thousand, five hundred forty-four".