109478304000 has 1512 divisors, whose sum is σ = 464749222392. Its totient is φ = 25530163200.

The previous prime is 109478303993. The next prime is 109478304007. The reversal of 109478304000 is 403874901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (109478303993) and next prime (109478304007).

It can be written as a sum of positive squares in 4 ways, for example, as 17247043584 + 92231260416 = 131328^2 + 303696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109478304007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5762015991 + ... + 5762016009.

Almost surely, 2^109478304000 is an apocalyptic number.

109478304000 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 109478304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232374611196).

109478304000 is an abundant number, since it is smaller than the sum of its proper divisors (355270918392).

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

109478304000 is an frugal number, since it uses more digits than its factorization.

109478304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 109478304000 in words is "one hundred nine billion, four hundred seventy-eight million, three hundred four thousand".