109040499648000 has 1920 divisors, whose sum is σ = 416090069531136. Its totient is φ = 28455432192000.

The previous prime is 109040499647923. The next prime is 109040499648001. The reversal of 109040499648000 is 846994040901.

It is a happy number.

109040499648000 is a `hidden beast` number, since 1 + 0 + 90 + 4 + 0 + 499 + 64 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109040499648001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 236530367770 + ... + 236530368230.

Almost surely, 2^{109040499648000} is an apocalyptic number.

109040499648000 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 109040499648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208045034765568).

109040499648000 is an abundant number, since it is smaller than the sum of its proper divisors (307049569883136).

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

109040499648000 is an frugal number, since it uses more digits than its factorization.

109040499648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 109040499648000 in words is "one hundred nine trillion, forty billion, four hundred ninety-nine million, six hundred forty-eight thousand".