109583043748864 has 297 divisors, whose sum is σ = 270793705387203. Its totient is φ = 44185484722176.

The previous prime is 109583043748853. The next prime is 109583043748879. The reversal of 109583043748864 is 468847340385901.

The square root of 109583043748864 is 10468192.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2058421478400 + 107524622270464 = 1434720^2 + 10369408^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 109583043748793 and 109583043748802.

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, 39862873762 + ... + 39862876510.

Almost surely, 2^{109583043748864} is an apocalyptic number.

109583043748864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

109583043748864 is the 10468192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109583043748864

109583043748864 is an abundant number, since it is smaller than the sum of its proper divisors (161210661638339).

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

109583043748864 is an frugal number, since it uses more digits than its factorization.

109583043748864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 70.

The spelling of 109583043748864 in words is "one hundred nine trillion, five hundred eighty-three billion, forty-three million, seven hundred forty-eight thousand, eight hundred sixty-four".