109764849909000 has 2048 divisors, whose sum is σ = 435155988234240. Its totient is φ = 22625280000000.

The previous prime is 109764849908953. The next prime is 109764849909047. The reversal of 109764849909000 is 909948467901.

It is an interprime number because it is at equal distance from previous prime (109764849908953) and next prime (109764849909047).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 111663122509 + ... + 111663123491.

It is an arithmetic number, because the mean of its divisors is an integer number (212478509880).

Almost surely, 2^{109764849909000} is an apocalyptic number.

109764849909000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109764849909000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217577994117120).

109764849909000 is an abundant number, since it is smaller than the sum of its proper divisors (325391138325240).

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

109764849909000 is a wasteful number, since it uses less digits than its factorization.

109764849909000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 66.

The spelling of 109764849909000 in words is "one hundred nine trillion, seven hundred sixty-four billion, eight hundred forty-nine million, nine hundred nine thousand".