109444070248704 has 243 divisors, whose sum is σ = 333065500082679. Its totient is φ = 34558272414720.

The previous prime is 109444070248697. The next prime is 109444070248741. The reversal of 109444070248704 is 407842070444901.

The square root of 109444070248704 is 10461552.

It is a perfect power (a square), and thus also a powerful number.

109444070248704 is a `hidden beast` number, since 1 + 0 + 94 + 4 + 4 + 0 + 70 + 2 + 487 + 0 + 4 = 666.

109444070248704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9540929689 + ... + 9540941159.

Almost surely, 2^{109444070248704} is an apocalyptic number.

109444070248704 is the 10461552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109444070248704

109444070248704 is an abundant number, since it is smaller than the sum of its proper divisors (223621429833975).

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

109444070248704 is an frugal number, since it uses more digits than its factorization.

109444070248704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23002 (or 11495 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 109444070248704 in words is "one hundred nine trillion, four hundred forty-four billion, seventy million, two hundred forty-eight thousand, seven hundred four".