109658805984 has 864 divisors, whose sum is σ = 408450107520. Its totient is φ = 27636940800.

The previous prime is 109658805961. The next prime is 109658806003. The reversal of 109658805984 is 489508856901.

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 143 ways as a sum of consecutive naturals, for example, 458823337 + ... + 458823575.

It is an arithmetic number, because the mean of its divisors is an integer number (472743180).

Almost surely, 2^109658805984 is an apocalyptic number.

109658805984 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 109658805984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204225053760).

109658805984 is an abundant number, since it is smaller than the sum of its proper divisors (298791301536).

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

109658805984 is a wasteful number, since it uses less digits than its factorization.

109658805984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 109658805984 in words is "one hundred nine billion, six hundred fifty-eight million, eight hundred five thousand, nine hundred eighty-four".