108941616000 has 1536 divisors, whose sum is σ = 482950840320. Its totient is φ = 22992076800.

The previous prime is 108941615999. The next prime is 108941616011. The reversal of 108941616000 is 616149801.

It is a happy number.

108941616000 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 41 + 6 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 857807937 + ... + 857808063.

It is an arithmetic number, because the mean of its divisors is an integer number (314421120).

Almost surely, 2^108941616000 is an apocalyptic number.

108941616000 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 108941616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241475420160).

108941616000 is an abundant number, since it is smaller than the sum of its proper divisors (374009224320).

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

108941616000 is a wasteful number, since it uses less digits than its factorization.

108941616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 108941616000 in words is "one hundred eight billion, nine hundred forty-one million, six hundred sixteen thousand".