109818094848000 has 3072 divisors, whose sum is σ = 478713432637440. Its totient is φ = 21673377792000.

The previous prime is 109818094847971. The next prime is 109818094848013. The reversal of 109818094848000 is 848490818901.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 357713663847 + ... + 357713664153.

It is an arithmetic number, because the mean of its divisors is an integer number (155831195520).

Almost surely, 2^{109818094848000} is an apocalyptic number.

109818094848000 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 109818094848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239356716318720).

109818094848000 is an abundant number, since it is smaller than the sum of its proper divisors (368895337789440).

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

109818094848000 is a wasteful number, since it uses less digits than its factorization.

109818094848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 60.

The spelling of 109818094848000 in words is "one hundred nine trillion, eight hundred eighteen billion, ninety-four million, eight hundred forty-eight thousand".