110398063104 has 480 divisors, whose sum is σ = 402541824960. Its totient is φ = 29683777536.

The previous prime is 110398063079. The next prime is 110398063177. The reversal of 110398063104 is 401360893011.

110398063104 is a `hidden beast` number, since 1 + 10 + 3 + 9 + 8 + 0 + 631 + 0 + 4 = 666.

110398063104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110398063104² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11510599 + ... + 11520185.

It is an arithmetic number, because the mean of its divisors is an integer number (838628802).

Almost surely, 2^110398063104 is an apocalyptic number.

110398063104 is a gapful number since it is divisible by the number (14) 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 110398063104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201270912480).

110398063104 is an abundant number, since it is smaller than the sum of its proper divisors (292143761856).

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

110398063104 is an equidigital number, since it uses as much as digits as its factorization.

110398063104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9645 (or 9616 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 110398063104 in words is "one hundred ten billion, three hundred ninety-eight million, sixty-three thousand, one hundred four".