110492445415968 has 1536 divisors, whose sum is σ = 442310077440000. Its totient is φ = 26500791582720.

The previous prime is 110492445415909. The next prime is 110492445415969. The reversal of 110492445415968 is 869514544294011.

It is a happy number.

110492445415968 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 9 + 24 + 4 + 541 + 5 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (110492445415969) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2937125863 + ... + 2937163481.

It is an arithmetic number, because the mean of its divisors is an integer number (287962290000).

Almost surely, 2^{110492445415968} is an apocalyptic number.

110492445415968 is a gapful number since it is divisible by the number (18) 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 110492445415968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221155038720000).

110492445415968 is an abundant number, since it is smaller than the sum of its proper divisors (331817632024032).

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

110492445415968 is a wasteful number, since it uses less digits than its factorization.

110492445415968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37740 (or 37712 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 110492445415968 in words is "one hundred ten trillion, four hundred ninety-two billion, four hundred forty-five million, four hundred fifteen thousand, nine hundred sixty-eight".