109243729152000 has 576 divisors, whose sum is σ = 393878961992880. Its totient is φ = 29123149824000.

The previous prime is 109243729151987. The next prime is 109243729152029. The reversal of 109243729152000 is 251927342901.

109243729152000 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 4 + 37 + 2 + 91 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 452487619584 + 108791241532416 = 672672^2 + 10430304^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14222588160 + ... + 14222595840.

Almost surely, 2^{109243729152000} is an apocalyptic number.

109243729152000 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 109243729152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196939480996440).

109243729152000 is an abundant number, since it is smaller than the sum of its proper divisors (284635232840880).

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

109243729152000 is an equidigital number, since it uses as much as digits as its factorization.

109243729152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13897 (or 13864 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 109243729152000 in words is "one hundred nine trillion, two hundred forty-three billion, seven hundred twenty-nine million, one hundred fifty-two thousand".