108614111445504 has 960 divisors, whose sum is σ = 387714783772800. Its totient is φ = 29898834739200.

The previous prime is 108614111445449. The next prime is 108614111445527. The reversal of 108614111445504 is 405544111416801.

It is a happy number.

108614111445504 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 1 + 41 + 11 + 44 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 108614111445504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9645151234 + ... + 9645162494.

It is an arithmetic number, because the mean of its divisors is an integer number (403869566430).

Almost surely, 2^{108614111445504} is an apocalyptic number.

108614111445504 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 108614111445504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193857391886400).

108614111445504 is an abundant number, since it is smaller than the sum of its proper divisors (279100672327296).

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

108614111445504 is a wasteful number, since it uses less digits than its factorization.

108614111445504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11822 (or 11793 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 108614111445504 in words is "one hundred eight trillion, six hundred fourteen billion, one hundred eleven million, four hundred forty-five thousand, five hundred four".