109194810480 has 960 divisors, whose sum is σ = 454016655360. Its totient is φ = 24337635840.

The previous prime is 109194810469. The next prime is 109194810493. The reversal of 109194810480 is 84018491901.

109194810480 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 94 + 81 + 0 + 480 = 666.

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 191 ways as a sum of consecutive naturals, for example, 402932745 + ... + 402933015.

It is an arithmetic number, because the mean of its divisors is an integer number (472934016).

Almost surely, 2^109194810480 is an apocalyptic number.

109194810480 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 109194810480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227008327680).

109194810480 is an abundant number, since it is smaller than the sum of its proper divisors (344821844880).

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

109194810480 is an equidigital number, since it uses as much as digits as its factorization.

109194810480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 109194810480 in words is "one hundred nine billion, one hundred ninety-four million, eight hundred ten thousand, four hundred eighty".