109452344601600 has 7920 divisors, whose sum is σ = 574101721138176. Its totient is φ = 20316635136000.

The previous prime is 109452344601571. The next prime is 109452344601601. The reversal of 109452344601600 is 6106443254901.

109452344601600 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 5 + 2 + 34 + 4 + 6 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (7920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109452344601601) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 3530720793585 + ... + 3530720793615.

Almost surely, 2^{109452344601600} is an apocalyptic number.

109452344601600 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 109452344601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287050860569088).

109452344601600 is an abundant number, since it is smaller than the sum of its proper divisors (464649376536576).

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

109452344601600 is an equidigital number, since it uses as much as digits as its factorization.

109452344601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 109452344601600 in words is "one hundred nine trillion, four hundred fifty-two billion, three hundred forty-four million, six hundred one thousand, six hundred".