108368916480 has 936 divisors, whose sum is σ = 426226744944. Its totient is φ = 25433210880.

The previous prime is 108368916449. The next prime is 108368916497. The reversal of 108368916480 is 84619863801.

108368916480 is a `hidden beast` number, since 1 + 0 + 83 + 6 + 89 + 1 + 6 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 959016904 + ... + 959017016.

It is an arithmetic number, because the mean of its divisors is an integer number (455370454).

Almost surely, 2^108368916480 is an apocalyptic number.

108368916480 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 108368916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213113372472).

108368916480 is an abundant number, since it is smaller than the sum of its proper divisors (317857828464).

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

108368916480 is a wasteful number, since it uses less digits than its factorization.

108368916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 108368916480 in words is "one hundred eight billion, three hundred sixty-eight million, nine hundred sixteen thousand, four hundred eighty".