110369920647168 has 1440 divisors, whose sum is σ = 411812979621120. Its totient is φ = 28680734638080.

The previous prime is 110369920647143. The next prime is 110369920647241. The reversal of 110369920647168 is 861746029963011.

110369920647168 is a `hidden beast` number, since 1 + 1 + 0 + 369 + 9 + 206 + 4 + 7 + 1 + 68 = 666.

It is a super-2 number, since 2×110369920647168² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68595350748 + ... + 68595352356.

It is an arithmetic number, because the mean of its divisors is an integer number (285981235848).

Almost surely, 2^{110369920647168} is an apocalyptic number.

110369920647168 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 110369920647168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205906489810560).

110369920647168 is an abundant number, since it is smaller than the sum of its proper divisors (301443058973952).

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

110369920647168 is an frugal number, since it uses more digits than its factorization.

110369920647168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 110369920647168 in words is "one hundred ten trillion, three hundred sixty-nine billion, nine hundred twenty million, six hundred forty-seven thousand, one hundred sixty-eight".