109249319208960 has 1152 divisors, whose sum is σ = 447789311424000. Its totient is φ = 24619059118080.

The previous prime is 109249319208949. The next prime is 109249319208961. The reversal of 109249319208960 is 69802913942901.

109249319208960 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 493 + 1 + 9 + 2 + 0 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (109249319208961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2244348142 + ... + 2244396818.

It is an arithmetic number, because the mean of its divisors is an integer number (388705999500).

Almost surely, 2^{109249319208960} is an apocalyptic number.

109249319208960 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 109249319208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223894655712000).

109249319208960 is an abundant number, since it is smaller than the sum of its proper divisors (338539992215040).

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

109249319208960 is an equidigital number, since it uses as much as digits as its factorization.

109249319208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48802 (or 48765 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 109249319208960 in words is "one hundred nine trillion, two hundred forty-nine billion, three hundred nineteen million, two hundred eight thousand, nine hundred sixty".