110955819672 has 96 divisors (see below), whose sum is σ = 304744714560. Its totient is φ = 36466560000.

The previous prime is 110955819661. The next prime is 110955819739. The reversal of 110955819672 is 276918559011.

It is a happy number.

110955819672 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 558 + 19 + 6 + 72 = 666.

It is a super-2 number, since 2×110955819672² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1720897 + ... + 1784207.

It is an arithmetic number, because the mean of its divisors is an integer number (3174424110).

Almost surely, 2^110955819672 is an apocalyptic number.

110955819672 is a gapful number since it is divisible by the number (12) 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 110955819672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152372357280).

110955819672 is an abundant number, since it is smaller than the sum of its proper divisors (193788894888).

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

110955819672 is a wasteful number, since it uses less digits than its factorization.

110955819672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63665 (or 63658 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 110955819672 in words is "one hundred ten billion, nine hundred fifty-five million, eight hundred nineteen thousand, six hundred seventy-two".