110261640651136 has 128 divisors (see below), whose sum is σ = 238160756433600. Its totient is φ = 50545492992000.

The previous prime is 110261640651091. The next prime is 110261640651139. The reversal of 110261640651136 is 631156046162011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 110261640651092 and 110261640651101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110261640651139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1926915006 + ... + 1926972226.

Almost surely, 2^{110261640651136} is an apocalyptic number.

110261640651136 is a gapful number since it is divisible by the number (16) 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 110261640651136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119080378216800).

110261640651136 is an abundant number, since it is smaller than the sum of its proper divisors (127899115782464).

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

110261640651136 is a wasteful number, since it uses less digits than its factorization.

110261640651136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65068 (or 65056 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 110261640651136 in words is "one hundred ten trillion, two hundred sixty-one billion, six hundred forty million, six hundred fifty-one thousand, one hundred thirty-six".