109795959185664 has 144 divisors (see below), whose sum is σ = 292980746240000. Its totient is φ = 36503133677568.

The previous prime is 109795959185663. The next prime is 109795959185779. The reversal of 109795959185664 is 466581959597901.

It is not an unprimeable number, because it can be changed into a prime (109795959185663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637228677 + ... + 637400955.

Almost surely, 2^{109795959185664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109795959185664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146490373120000).

109795959185664 is an abundant number, since it is smaller than the sum of its proper divisors (183184787054336).

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

109795959185664 is a wasteful number, since it uses less digits than its factorization.

109795959185664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174460 (or 174446 counting only the distinct ones).

The product of its (nonzero) digits is 6613488000, while the sum is 84.

The spelling of 109795959185664 in words is "one hundred nine trillion, seven hundred ninety-five billion, nine hundred fifty-nine million, one hundred eighty-five thousand, six hundred sixty-four".