109468195200 has 2592 divisors, whose sum is σ = 540258624360. Its totient is φ = 21737963520.

The previous prime is 109468195189. The next prime is 109468195223. The reversal of 109468195200 is 2591864901.

109468195200 is a `hidden beast` number, since 1 + 0 + 9 + 46 + 81 + 9 + 520 + 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 6439305592 + ... + 6439305608.

Almost surely, 2^109468195200 is an apocalyptic number.

109468195200 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 109468195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270129312180).

109468195200 is an abundant number, since it is smaller than the sum of its proper divisors (430790429160).

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

109468195200 is a wasteful number, since it uses less digits than its factorization.

109468195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 109468195200 in words is "one hundred nine billion, four hundred sixty-eight million, one hundred ninety-five thousand, two hundred".