109649191765200 has 120 divisors (see below), whose sum is σ = 351248210788800. Its totient is φ = 29239343278080.

The previous prime is 109649191765171. The next prime is 109649191765207. The reversal of 109649191765200 is 2567191946901.

It is a Cunningham number, because it is equal to 10471351²-1.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109649191765207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83116341 + ... + 84425259.

It is an arithmetic number, because the mean of its divisors is an integer number (2927068423240).

Almost surely, 2^{109649191765200} is an apocalyptic number.

109649191765200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109649191765200 is an abundant number, since it is smaller than the sum of its proper divisors (241599019023600).

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

109649191765200 is a wasteful number, since it uses less digits than its factorization.

109649191765200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378749 (or 1378738 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 60.

The spelling of 109649191765200 in words is "one hundred nine trillion, six hundred forty-nine billion, one hundred ninety-one million, seven hundred sixty-five thousand, two hundred".