110903179968 has 448 divisors, whose sum is σ = 394253516800. Its totient is φ = 29863572480.

The previous prime is 110903179967. The next prime is 110903179979. The reversal of 110903179968 is 869971309011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (110903179963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48491721 + ... + 48494007.

Almost surely, 2^110903179968 is an apocalyptic number.

110903179968 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 110903179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197126758400).

110903179968 is an abundant number, since it is smaller than the sum of its proper divisors (283350336832).

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

110903179968 is a wasteful number, since it uses less digits than its factorization.

110903179968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 110903179968 in words is "one hundred ten billion, nine hundred three million, one hundred seventy-nine thousand, nine hundred sixty-eight".