110132275968 has 540 divisors, whose sum is σ = 388061743608. Its totient is φ = 30795448320.

The previous prime is 110132275937. The next prime is 110132276027. The reversal of 110132275968 is 869572231011.

110132275968 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 32 + 27 + 596 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38546796 + ... + 38549652.

Almost surely, 2^110132275968 is an apocalyptic number.

110132275968 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 110132275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194030871804).

110132275968 is an abundant number, since it is smaller than the sum of its proper divisors (277929467640).

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

110132275968 is a wasteful number, since it uses less digits than its factorization.

110132275968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 110132275968 in words is "one hundred ten billion, one hundred thirty-two million, two hundred seventy-five thousand, nine hundred sixty-eight".