110398827322368 has 528 divisors, whose sum is σ = 368072578884640. Its totient is φ = 32491906596864.

The previous prime is 110398827322363. The next prime is 110398827322397. The reversal of 110398827322368 is 863223728893011.

110398827322368 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 9 + 88 + 273 + 223 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110398827322363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189844980 + ... + 190425612.

Almost surely, 2^{110398827322368} is an apocalyptic number.

110398827322368 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 110398827322368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184036289442320).

110398827322368 is an abundant number, since it is smaller than the sum of its proper divisors (257673751562272).

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

110398827322368 is a wasteful number, since it uses less digits than its factorization.

110398827322368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580721 (or 580674 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 110398827322368 in words is "one hundred ten trillion, three hundred ninety-eight billion, eight hundred twenty-seven million, three hundred twenty-two thousand, three hundred sixty-eight".