108983847016800 has 2592 divisors, whose sum is σ = 497842331051520. Its totient is φ = 23112611020800.

The previous prime is 108983847016799. The next prime is 108983847016829. The reversal of 108983847016800 is 8610748389801.

108983847016800 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 83 + 8 + 470 + 1 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 11497394461 + ... + 11497403939.

It is an arithmetic number, because the mean of its divisors is an integer number (192068800560).

Almost surely, 2^{108983847016800} is an apocalyptic number.

108983847016800 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 108983847016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248921165525760).

108983847016800 is an abundant number, since it is smaller than the sum of its proper divisors (388858484034720).

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

108983847016800 is a wasteful number, since it uses less digits than its factorization.

108983847016800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9616 (or 9584 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 108983847016800 in words is "one hundred eight trillion, nine hundred eighty-three billion, eight hundred forty-seven million, sixteen thousand, eight hundred".