110863681920 has 192 divisors, whose sum is σ = 383722971840. Its totient is φ = 29494394880.

The previous prime is 110863681843. The next prime is 110863681937. The reversal of 110863681920 is 29186368011.

110863681920 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 636 + 8 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2460232 + ... + 2504888.

It is an arithmetic number, because the mean of its divisors is an integer number (1998557145).

Almost surely, 2^110863681920 is an apocalyptic number.

110863681920 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 110863681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191861485920).

110863681920 is an abundant number, since it is smaller than the sum of its proper divisors (272859289920).

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

110863681920 is a wasteful number, since it uses less digits than its factorization.

110863681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45113 (or 45098 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 110863681920 in words is "one hundred ten billion, eight hundred sixty-three million, six hundred eighty-one thousand, nine hundred twenty".