108948648600 has 288 divisors, whose sum is σ = 420157483200. Its totient is φ = 25021612800.

The previous prime is 108948648577. The next prime is 108948648607. The reversal of 108948648600 is 6846849801.

108948648600 is a `hidden beast` number, since 1 + 0 + 89 + 4 + 86 + 486 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108948648607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231399 + ... + 521001.

It is an arithmetic number, because the mean of its divisors is an integer number (1458880150).

Almost surely, 2^108948648600 is an apocalyptic number.

108948648600 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 108948648600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210078741600).

108948648600 is an abundant number, since it is smaller than the sum of its proper divisors (311208834600).

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

108948648600 is a wasteful number, since it uses less digits than its factorization.

108948648600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289655 (or 289643 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 108948648600 in words is "one hundred eight billion, nine hundred forty-eight million, six hundred forty-eight thousand, six hundred".