109343765954880 has 280 divisors, whose sum is σ = 411834720147048. Its totient is φ = 27443141148672.

The previous prime is 109343765954767. The next prime is 109343765954963. The reversal of 109343765954880 is 88459567343901.

109343765954880 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 4 + 3 + 76 + 5 + 9 + 548 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10782711959616 + 98561053995264 = 3283704^2 + 9927792^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 109343765954799 and 109343765954808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123633169 + ... + 124514448.

Almost surely, 2^{109343765954880} is an apocalyptic number.

109343765954880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109343765954880 is an abundant number, since it is smaller than the sum of its proper divisors (302490954192168).

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

109343765954880 is a wasteful number, since it uses less digits than its factorization.

109343765954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248147663 (or 248147644 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 109343765954880 in words is "one hundred nine trillion, three hundred forty-three billion, seven hundred sixty-five million, nine hundred fifty-four thousand, eight hundred eighty".