110141686872 has 480 divisors, whose sum is σ = 382700736000. Its totient is φ = 29422673280.

The previous prime is 110141686861. The next prime is 110141686883. The reversal of 110141686872 is 278686141011.

110141686872 is a `hidden beast` number, since 1 + 101 + 416 + 8 + 68 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (110141686861) and next prime (110141686883).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 47658597 + ... + 47660907.

It is an arithmetic number, because the mean of its divisors is an integer number (797293200).

Almost surely, 2^110141686872 is an apocalyptic number.

110141686872 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 110141686872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191350368000).

110141686872 is an abundant number, since it is smaller than the sum of its proper divisors (272559049128).

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

110141686872 is a wasteful number, since it uses less digits than its factorization.

110141686872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 110141686872 in words is "one hundred ten billion, one hundred forty-one million, six hundred eighty-six thousand, eight hundred seventy-two".